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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($) $ in Thousands	Mar. 31, 2024	Dec. 31, 2023	Mar. 31, 2023	Dec. 31, 2022
Assets
Debt securities available-for-sale	$ 18,017,424	$ 16,729,044
Mortgage servicing rights	114,964	118,109	$ 127,475	$ 128,350
US Treasury Securities
Assets
Debt securities available-for-sale	12,289,211	10,747,061
Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	127,608	134,686
Mortgage Backed Securities - federal agencies
Assets
Debt securities available-for-sale	5,598,600	5,844,786
Other
Assets
Debt securities available-for-sale	2,005	2,511
Recurring
Assets
Debt securities available-for-sale	18,017,424	16,729,044
Trading account debt securities, excluding derivatives	27,303	31,568
Equity securities at fair value	41,269	38,275
Mortgage servicing rights	114,964	118,109
Loans held-for-sale	5,352	3,239
Derivatives	24,045	24,419
Total assets measured at fair value on recurring /nonrecurring basis	18,230,357	16,944,654
Liabilities
Derivatives	(21,784)	(21,103)
Total	(21,784)	(21,103)
Recurring \| US Treasury Securities
Assets
Debt securities available-for-sale	12,289,211	10,747,061
Trading account debt securities, excluding derivatives	8,316	16,859
Recurring \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	60	71
Recurring \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	127,608	134,686
Recurring \| CMO
Assets
Trading account debt securities, excluding derivatives	90	98
Recurring \| Mortgage Backed Securities - federal agencies
Assets
Debt securities available-for-sale	5,598,600	5,844,786
Trading account debt securities, excluding derivatives	18,671	14,373
Recurring \| Other
Assets
Debt securities available-for-sale	2,005	2,511
Trading account debt securities, excluding derivatives	166	167
Recurring \| Level 1
Assets
Debt securities available-for-sale	6,262,480	3,936,036
Trading account debt securities, excluding derivatives	8,316	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	6,270,796	3,952,895
Liabilities
Derivatives	0	0
Total	0	0
Recurring \| Level 1 \| US Treasury Securities
Assets
Debt securities available-for-sale	6,262,480	3,936,036
Trading account debt securities, excluding derivatives	8,316	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	11,752,337	12,789,902
Trading account debt securities, excluding derivatives	18,737	14,425
Equity securities at fair value	40,933	37,965
Mortgage servicing rights	0	0
Loans held-for-sale	5,352	3,239
Derivatives	24,045	24,419
Total assets measured at fair value on recurring /nonrecurring basis	11,841,404	12,869,950
Liabilities
Derivatives	(21,784)	(21,103)
Total	(21,784)	(21,103)
Recurring \| Level 2 \| US Treasury Securities
Assets
Debt securities available-for-sale	6,026,731	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	60	71
Recurring \| Level 2 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	127,608	134,686
Recurring \| Level 2 \| CMO
Assets
Trading account debt securities, excluding derivatives	90	93
Recurring \| Level 2 \| Mortgage Backed Securities - federal agencies
Assets
Debt securities available-for-sale	5,597,993	5,844,180
Trading account debt securities, excluding derivatives	18,587	14,261
Recurring \| Level 2 \| Other
Assets
Debt securities available-for-sale	5	11
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3
Assets
Debt securities available-for-sale	2,607	3,106
Trading account debt securities, excluding derivatives	250	284
Equity securities at fair value	0	0
Mortgage servicing rights	114,964	118,109
Loans held-for-sale	0	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	117,821	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	88
Recurring \| Level 3 \| Mortgage Backed Securities - federal agencies
Assets
Debt securities available-for-sale	607	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	166	167	$ 199
Recurring \| NAV
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Equity securities at fair value	336	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	336	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