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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($) $ in Thousands | Jun. 30, 2024 | Dec. 31, 2023 | Jun. 30, 2023 | Dec. 31, 2022
--- | --- | --- | --- | ---
Assets |  |  |  |
Debt securities available-for-sale | $ 18,542,779 | $ 16,729,044 |  |
Mortgage servicing rights | 113,386 | 118,109 | $ 121,249 | $ 128,350
US Treasury Securities |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 13,007,386 | 10,747,061 |  |
Collateralized Mortgage Obligations - Federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 131,853 | 134,686 |  |
Mortgage Backed Securities - federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 5,401,540 | 5,844,786 |  |
Other |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 2,000 | 2,511 |  |
Recurring |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 18,542,779 | 16,729,044 |  |
Trading account debt securities, excluding derivatives | 28,012 | 31,568 |  |
Equity securities at fair value | 43,469 | 38,275 |  |
Mortgage servicing rights | 113,386 | 118,109 |  |
Loans held-for-sale | 5,197 | 3,239 |  |
Derivatives | 25,228 | 24,419 |  |
Total assets measured at fair value on recurring /nonrecurring basis | 18,758,071 | 16,944,654 |  |
Liabilities |  |  |  |
Derivatives | (23,198) | (21,103) |  |
Total | (23,198) | (21,103) |  |
Recurring | US Treasury Securities |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 13,007,386 | 10,747,061 |  |
Trading account debt securities, excluding derivatives | 7,064 | 16,859 |  |
Recurring | Obligations of Puerto Rico, States and political subdivisions |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 59 | 71 |  |
Recurring | Collateralized Mortgage Obligations - Federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 131,853 | 134,686 |  |
Recurring | CMO |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 87 | 98 |  |
Recurring | Mortgage Backed Securities - federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 5,401,540 | 5,844,786 |  |
Trading account debt securities, excluding derivatives | 20,644 | 14,373 |  |
Recurring | Other |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 2,000 | 2,511 |  |
Trading account debt securities, excluding derivatives | 158 | 167 |  |
Recurring | Level 1 |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 7,751,165 | 3,936,036 |  |
Trading account debt securities, excluding derivatives | 7,064 | 16,859 |  |
Equity securities at fair value | 0 | 0 |  |
Mortgage servicing rights | 0 | 0 |  |
Loans held-for-sale | 0 | 0 |  |
Derivatives | 0 | 0 |  |
Total assets measured at fair value on recurring /nonrecurring basis | 7,758,229 | 3,952,895 |  |
Liabilities |  |  |  |
Derivatives | 0 | 0 |  |
Total | 0 | 0 |  |
Recurring | Level 1 | US Treasury Securities |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 7,751,165 | 3,936,036 |  |
Trading account debt securities, excluding derivatives | 7,064 | 16,859 |  |
Recurring | Level 1 | Obligations of Puerto Rico, States and political subdivisions |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | Level 1 | Collateralized Mortgage Obligations - Federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Recurring | Level 1 | CMO |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | Level 1 | Mortgage Backed Securities - federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | Level 1 | Other |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | Level 2 |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 10,789,033 | 12,789,902 |  |
Trading account debt securities, excluding derivatives | 20,706 | 14,425 |  |
Equity securities at fair value | 43,081 | 37,965 |  |
Mortgage servicing rights | 0 | 0 |  |
Loans held-for-sale | 5,197 | 3,239 |  |
Derivatives | 25,228 | 24,419 |  |
Total assets measured at fair value on recurring /nonrecurring basis | 10,883,245 | 12,869,950 |  |
Liabilities |  |  |  |
Derivatives | (23,198) | (21,103) |  |
Total | (23,198) | (21,103) |  |
Recurring | Level 2 | US Treasury Securities |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 5,256,221 | 6,811,025 |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | Level 2 | Obligations of Puerto Rico, States and political subdivisions |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 59 | 71 |  |
Recurring | Level 2 | Collateralized Mortgage Obligations - Federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 131,853 | 134,686 |  |
Recurring | Level 2 | CMO |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 87 | 93 |  |
Recurring | Level 2 | Mortgage Backed Securities - federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 5,400,959 | 5,844,180 |  |
Trading account debt securities, excluding derivatives | 20,560 | 14,261 |  |
Recurring | Level 2 | Other |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 11 |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | Level 3 |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 2,581 | 3,106 |  |
Trading account debt securities, excluding derivatives | 242 | 284 |  |
Equity securities at fair value | 0 | 0 |  |
Mortgage servicing rights | 113,386 | 118,109 |  |
Loans held-for-sale | 0 | 0 |  |
Derivatives | 0 | 0 |  |
Total assets measured at fair value on recurring /nonrecurring basis | 116,209 | 121,499 |  |
Liabilities |  |  |  |
Derivatives | 0 | 0 |  |
Total | 0 | 0 |  |
Recurring | Level 3 | US Treasury Securities |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | Level 3 | Obligations of Puerto Rico, States and political subdivisions |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | Level 3 | Collateralized Mortgage Obligations - Federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Recurring | Level 3 | CMO |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 0 | 5 | 56 |
Recurring | Level 3 | Mortgage Backed Securities - federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 581 | 606 |  |
Trading account debt securities, excluding derivatives | 84 | 112 |  |
Recurring | Level 3 | Other |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 2,000 | 2,500 |  |
Trading account debt securities, excluding derivatives | 158 | 167 | $ 191 |
Recurring | NAV |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Equity securities at fair value | 388 | 310 |  |
Mortgage servicing rights | 0 | 0 |  |
Loans held-for-sale | 0 | 0 |  |
Derivatives | 0 | 0 |  |
Total assets measured at fair value on recurring /nonrecurring basis | 388 | 310 |  |
Liabilities |  |  |  |
Derivatives | 0 | 0 |  |
Total | 0 | 0 |  |
Recurring | NAV | US Treasury Securities |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | NAV | Obligations of Puerto Rico, States and political subdivisions |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | NAV | Collateralized Mortgage Obligations - Federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Recurring | NAV | CMO |  |  |  |
Assets |  |  |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | NAV | Mortgage Backed Securities - federal agencies |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Trading account debt securities, excluding derivatives | 0 | 0 |  |
Recurring | NAV | Other |  |  |  |
Assets |  |  |  |
Debt securities available-for-sale | 0 | 0 |  |
Trading account debt securities, excluding derivatives | $ 0 | $ 0 |  |

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