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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Dec. 31, 2022	Sep. 30, 2022	Dec. 31, 2021
Assets
Debt securities available-for-sale	$ 16,729,044	$ 17,804,374
Mortgage servicing rights	118,109	128,350	$ 128,350	$ 121,570
Liabilities
Derivatives	(21,103)	(17,000)
US Treasury Securities
Assets
Debt securities available-for-sale	10,747,061	11,180,948
Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	134,686	165,196
Mortgage Backed Securities
Assets
Debt securities available-for-sale	5,844,786	6,457,170
Other
Assets
Debt securities available-for-sale	2,511	1,060
Recurring
Assets
Debt securities available-for-sale	16,729,044	17,804,374
Trading account debt securities, excluding derivatives	31,568	27,723
Equity securities at fair value	38,275	29,632
Mortgage servicing rights	118,109	128,350
Loans held-for-sale	3,239
Derivatives	24,419	19,229
Total assets measured at fair value on recurring /nonrecurring basis	16,944,654	18,009,308
Liabilities
Derivatives	(21,103)	(17,000)
Total	(21,103)	(17,000)
Recurring | US Treasury Securities
Assets
Debt securities available-for-sale	10,747,061	11,180,948
Trading account debt securities, excluding derivatives	16,859	13,069
Recurring | Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	71	64
Recurring | Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	134,686	165,196
Recurring | CMO
Assets
Trading account debt securities, excluding derivatives	98	160
Recurring | Mortgage Backed Securities
Assets
Debt securities available-for-sale	5,844,786	6,457,170
Trading account debt securities, excluding derivatives	14,373	14,223
Recurring | Other
Assets
Debt securities available-for-sale	2,511	1,060
Trading account debt securities, excluding derivatives	167	207
Recurring | Level 1
Assets
Debt securities available-for-sale	3,936,036	1,908,589
Trading account debt securities, excluding derivatives	16,859	13,069
Equity securities at fair value	0	0
Mortgage servicing rights	0	0
Loans held-for-sale	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	3,952,895	1,921,658
Liabilities
Derivatives	0	0
Total	0	0
Recurring | Level 1 | US Treasury Securities
Assets
Debt securities available-for-sale	3,936,036	1,908,589
Trading account debt securities, excluding derivatives	16,859	13,069
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
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	12,789,902	15,894,074
Trading account debt securities, excluding derivatives	14,425	14,119
Equity securities at fair value	37,965	29,302
Mortgage servicing rights	0	0
Loans held-for-sale	3,239
Derivatives	24,419	19,229
Total assets measured at fair value on recurring /nonrecurring basis	12,869,950	15,956,724
Liabilities
Derivatives	(21,103)	(17,000)
Total	(21,103)	(17,000)
Recurring | Level 2 | US Treasury Securities
Assets
Debt securities available-for-sale	6,811,025	9,272,359
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	71	64
Recurring | Level 2 | Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	134,686	165,196
Recurring | Level 2 | CMO
Assets
Trading account debt securities, excluding derivatives	93	47
Recurring | Level 2 | Mortgage Backed Securities
Assets
Debt securities available-for-sale	5,844,180	6,456,459
Trading account debt securities, excluding derivatives	14,261	14,008
Recurring | Level 2 | Other
Assets
Debt securities available-for-sale	11	60
Trading account debt securities, excluding derivatives	0	0
Recurring | Level 3
Assets
Debt securities available-for-sale	3,106	1,711
Trading account debt securities, excluding derivatives	284	535
Equity securities at fair value	0	0
Mortgage servicing rights	118,109	128,350
Loans held-for-sale	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	121,499	130,596
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	5	113
Recurring | Level 3 | Mortgage Backed Securities
Assets
Debt securities available-for-sale	606	711
Trading account debt securities, excluding derivatives	112	215
Recurring | Level 3 | Other
Assets
Debt securities available-for-sale	2,500	1,000
Trading account debt securities, excluding derivatives	167	207
Recurring | NAV
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Equity securities at fair value	310	330
Mortgage servicing rights	0	0
Loans held-for-sale	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	310	330
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
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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