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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($) $ in Thousands	Sep. 30, 2019	Dec. 31, 2018	Sep. 30, 2018	Dec. 31, 2017
Assets
Debt securities available-for-sale, at fair value	$ 16,479,110	$ 13,300,184
Trading account debt securities, excluding derivatives	36,303	37,787
Mortgage servicing rights	150,652	169,777	$ 162,779	$ 168,031
Recurring
Assets
Debt securities available-for-sale, at fair value	16,479,110	13,300,184
Trading account debt securities, excluding derivatives	36,303	37,787
Equity securities at fair value	19,778	13,296
Mortgage servicing rights	150,652	169,777
Derivatives	15,234	13,603
Total	16,701,077	13,534,647
Liabilities
Derivatives	(14,069)	(12,320)
Total	(14,069)	(12,320)
Recurring | US Treasury Securities
Assets
Debt securities available-for-sale, at fair value	10,504,288	8,272,196
Trading account debt securities, excluding derivatives	2,760	6,278
Recurring | Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale, at fair value	187,092	333,309
Recurring | Obligations of Puerto Rico, States and political subdivisions
Assets
Debt securities available-for-sale, at fair value	6,931	6,742
Trading account debt securities, excluding derivatives	649	134
Recurring | Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale, at fair value	630,636	728,671
Recurring | Mortgage Backed Securities
Assets
Debt securities available-for-sale, at fair value	5,149,790	3,958,778
Trading account debt securities, excluding derivatives	28,798	27,257
Recurring | Other
Assets
Debt securities available-for-sale, at fair value	373	488
Trading account debt securities, excluding derivatives	3,460	3,459
Recurring | CMO
Assets
Trading account debt securities, excluding derivatives	636	659
Recurring | Level 1
Assets
Debt securities available-for-sale, at fair value	4,487,422	2,719,740
Trading account debt securities, excluding derivatives	2,758	6,278
Equity securities at fair value	0	0
Mortgage servicing rights	0	0
Derivatives	0	0
Total	4,490,180	2,726,018
Liabilities
Derivatives	0	0
Total	0	0
Recurring | Level 1 | US Treasury Securities
Assets
Debt securities available-for-sale, at fair value	4,487,422	2,719,740
Trading account debt securities, excluding derivatives	2,758	6,278
Recurring | Level 1 | Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale, at fair value	0	0
Recurring | Level 1 | Obligations of Puerto Rico, States and political subdivisions
Assets
Debt securities available-for-sale, at fair value	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring | Level 1 | Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale, at fair value	0	0
Recurring | Level 1 | Mortgage Backed Securities
Assets
Debt securities available-for-sale, at fair value	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring | Level 1 | Other
Assets
Debt securities available-for-sale, at fair value	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring | Level 1 | CMO
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring | Level 2
Assets
Debt securities available-for-sale, at fair value	11,990,479	10,579,211
Trading account debt securities, excluding derivatives	32,506	30,370
Equity securities at fair value	19,778	13,296
Mortgage servicing rights	0	0
Derivatives	15,234	13,603
Total	12,057,997	10,636,480
Liabilities
Derivatives	(14,069)	(12,320)
Total	(14,069)	(12,320)
Recurring | Level 2 | US Treasury Securities
Assets
Debt securities available-for-sale, at fair value	6,016,866	5,552,456
Trading account debt securities, excluding derivatives	2	0
Recurring | Level 2 | Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale, at fair value	187,092	333,309
Recurring | Level 2 | Obligations of Puerto Rico, States and political subdivisions
Assets
Debt securities available-for-sale, at fair value	6,931	6,742
Trading account debt securities, excluding derivatives	649	134
Recurring | Level 2 | Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale, at fair value	630,636	728,671
Recurring | Level 2 | Mortgage Backed Securities
Assets
Debt securities available-for-sale, at fair value	5,148,581	3,957,545
Trading account debt securities, excluding derivatives	28,772	27,214
Recurring | Level 2 | Other
Assets
Debt securities available-for-sale, at fair value	373	488
Trading account debt securities, excluding derivatives	3,004	2,974
Recurring | Level 2 | CMO
Assets
Trading account debt securities, excluding derivatives	79	48
Recurring | Level 3
Assets
Debt securities available-for-sale, at fair value	1,209	1,233
Trading account debt securities, excluding derivatives	1,039	1,139
Equity securities at fair value	0	0
Mortgage servicing rights	150,652	169,777
Derivatives	0	0
Total	152,900	172,149
Liabilities
Derivatives	0	0
Total	0	0
Recurring | Level 3 | US Treasury Securities
Assets
Debt securities available-for-sale, at fair value	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring | Level 3 | Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale, at fair value	0	0
Recurring | Level 3 | Obligations of Puerto Rico, States and political subdivisions
Assets
Debt securities available-for-sale, at fair value	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring | Level 3 | Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale, at fair value	0	0
Recurring | Level 3 | Mortgage Backed Securities
Assets
Debt securities available-for-sale, at fair value	1,209	1,233
Trading account debt securities, excluding derivatives	26	43
Recurring | Level 3 | Other
Assets
Debt securities available-for-sale, at fair value	0	0
Trading account debt securities, excluding derivatives	456	485
Recurring | Level 3 | CMO
Assets
Trading account debt securities, excluding derivatives	$ 557	$ 611

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