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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($) $ in Thousands	Jun. 30, 2025	Dec. 31, 2024	Jun. 30, 2024	Dec. 31, 2023
Assets
Debt securities available-for-sale	$ 20,490,212	$ 18,245,903
Mortgage servicing rights	103,077	108,103	$ 113,386	$ 118,109
US Treasury Securities
Assets
Debt securities available-for-sale	15,412,796	12,995,110
Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	110,432	120,284
Other
Assets
Debt securities available-for-sale	750	2,250
Recurring
Assets
Debt securities available-for-sale	20,490,212	18,245,903
Trading account debt securities, excluding derivatives	29,643	32,783
Equity securities at fair value	47,456	46,045
Mortgage servicing rights	103,077	108,103
Loans held-for-sale	2,898	5,423
Derivatives	24,792	26,023
Total assets measured at fair value on a recurring basis	20,698,078	18,464,280
Liabilities
Derivatives	(23,349)	(22,832)
Total	(23,349)	(22,832)
Recurring \| US Treasury Securities
Assets
Debt securities available-for-sale	15,412,796	12,995,110
Trading account debt securities, excluding derivatives	5,823	2,824
Recurring \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	50	55
Recurring \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	110,432	120,284
Recurring \| CMO
Assets
Trading account debt securities, excluding derivatives	615	655
Recurring \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	4,966,234	5,128,259
Trading account debt securities, excluding derivatives	23,033	29,116
Recurring \| Other
Assets
Debt securities available-for-sale	750	2,250
Trading account debt securities, excluding derivatives	122	133
Recurring \| Level 1
Assets
Debt securities available-for-sale	7,908,859	7,512,171
Trading account debt securities, excluding derivatives	5,813	2,814
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 a recurring basis	7,914,672	7,514,985
Liabilities
Derivatives	0	0
Total	0	0
Recurring \| Level 1 \| US Treasury Securities
Assets
Debt securities available-for-sale	7,908,859	7,512,171
Trading account debt securities, excluding derivatives	5,813	2,814
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	12,580,171	10,730,998
Trading account debt securities, excluding derivatives	23,624	29,752
Equity securities at fair value	47,009	45,664
Mortgage servicing rights	0	0
Loans held-for-sale	2,898	5,423
Derivatives	24,792	26,023
Total assets measured at fair value on a recurring basis	12,678,494	10,837,860
Liabilities
Derivatives	(23,349)	(22,832)
Total	(23,349)	(22,832)
Recurring \| Level 2 \| US Treasury Securities
Assets
Debt securities available-for-sale	7,503,937	5,482,939
Trading account debt securities, excluding derivatives	10	10
Recurring \| Level 2 \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	50	55
Recurring \| Level 2 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	110,432	120,284
Recurring \| Level 2 \| CMO
Assets
Trading account debt securities, excluding derivatives	615	655
Recurring \| Level 2 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	4,965,802	5,127,775
Trading account debt securities, excluding derivatives	22,949	29,032
Recurring \| Level 2 \| Other
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3
Assets
Debt securities available-for-sale	1,182	2,734
Trading account debt securities, excluding derivatives	206	217
Equity securities at fair value	0	0
Mortgage servicing rights	103,077	108,103
Loans held-for-sale	0	0
Derivatives	0	0
Total assets measured at fair value on a recurring basis	104,465	111,054
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	0
Recurring \| Level 3 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	432	484
Trading account debt securities, excluding derivatives	84	84
Recurring \| Level 3 \| Other
Assets
Debt securities available-for-sale	750	2,250
Trading account debt securities, excluding derivatives	122	133	$ 158
Recurring \| NAV
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Equity securities at fair value	447	381
Mortgage servicing rights	0	0
Loans held-for-sale	0	0
Derivatives	0	0
Total assets measured at fair value on a recurring basis	447	381
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