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531245331045 = 3251113162750741
BaseRepresentation
bin1111011101100001011…
…00000111001001100101
31212210020101210222122200
413232300230013021211
532200442301043140
61044014543045113
753244516544062
oct7566054071145
91783211728580
10531245331045
1119533315a140
1286b60ba0799
133b133519540
141b9d8bdbc69
15dc43c4e030
hex7bb0b07265

531245331045 has 96 divisors (see below), whose sum is σ = 1082494917504. Its totient is φ = 237609331200.

The previous prime is 531245331037. The next prime is 531245331049. The reversal of 531245331045 is 540133542135.

531245331045 is a `hidden beast` number, since 5 + 3 + 12 + 4 + 533 + 104 + 5 = 666.

531245331045 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 531245331045 - 23 = 531245331037 is a prime.

It is a super-2 number, since 2×5312453310452 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531245331049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10444375 + ... + 10495115.

It is an arithmetic number, because the mean of its divisors is an integer number (11275988724).

Almost surely, 2531245331045 is an apocalyptic number.

531245331045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

531245331045 is an abundant number, since it is smaller than the sum of its proper divisors (551249586459).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

531245331045 is a wasteful number, since it uses less digits than its factorization.

531245331045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52403 (or 52400 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 531245331045 in words is "five hundred thirty-one billion, two hundred forty-five million, three hundred thirty-one thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 1627 2145 4881 6435 8135 14643 17897 21151 24405 50741 53691 63453 73215 89485 105755 152223 161073 190359 232661 253705 268455 317265 456669 558151 659633 697983 761115 805365 951795 1163305 1674453 1978899 2093949 2283345 2790755 3298165 3489915 5023359 5936697 7255963 8372265 9894495 10469745 21767889 25116795 29683485 36279815 65303667 82555607 108839445 247666821 326518335 412778035 743000463 908111677 1073222891 1238334105 2724335031 3219668673 3715002315 4540558385 5366114455 8173005093 9659006019 11805451801 13621675155 16098343365 35416355403 40865025465 48295030095 59027259005 106249066209 177081777015 531245331045