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52585255258525 = 52111712373909091
BaseRepresentation
bin10111111010011011101010…
…11101011100100110011101
320220012002201212000200210001
423331031311131130212131
523343024100321233100
6303501155513414301
714035105434510553
oct1375156535344635
9226162655020701
1052585255258525
1115834310775a10
125a9345b70a391
1323459cac2c842
14cdb1d5da1bd3
15612ce32b7d6a
hex2fd37575c99d

52585255258525 has 48 divisors (see below), whose sum is σ = 75324003115968. Its totient is φ = 35991236736000.

The previous prime is 52585255258511. The next prime is 52585255258541.

52585255258525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52585255258525 - 27 = 52585255258397 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57389230 + ... + 58298320.

It is an arithmetic number, because the mean of its divisors is an integer number (1569250064916).

Almost surely, 252585255258525 is an apocalyptic number.

52585255258525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52585255258525 is a deficient number, since it is larger than the sum of its proper divisors (22738747857443).

52585255258525 is a wasteful number, since it uses less digits than its factorization.

52585255258525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921502 (or 921497 counting only the distinct ones).

The product of its digits is 400000000, while the sum is 64.

The spelling of 52585255258525 in words is "fifty-two trillion, five hundred eighty-five billion, two hundred fifty-five million, two hundred fifty-eight thousand, five hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 187 275 425 935 4675 12373 61865 136103 210341 309325 680515 909091 1051705 2313751 3402575 4545455 5258525 10000001 11568755 15454547 22727275 50000005 57843775 77272735 170000017 250000025 386363675 850000085 4250000425 11248182943 56240914715 123730012373 191219110031 281204573575 618650061865 956095550155 2103410210341 3093250309325 4780477750775 10517051051705 52585255258525