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51135000525 = 3252771457277
BaseRepresentation
bin101111100111111000…
…100010111111001101
311212222200112011122100
4233213320202333031
51314211030004100
635254024305313
73460113222120
oct574770427715
9155880464570
1051135000525
111a760413814
129ab1012239
134a8bc5677b
1426913803b7
1514e4341400
hexbe7e22fcd

51135000525 has 72 divisors (see below), whose sum is σ = 106147027584. Its totient is φ = 23046710400.

The previous prime is 51135000509. The next prime is 51135000529. The reversal of 51135000525 is 52500053115.

51135000525 is a `hidden beast` number, since 5 + 1 + 135 + 0 + 0 + 0 + 525 = 666.

It is not a de Polignac number, because 51135000525 - 24 = 51135000509 is a prime.

It is a super-2 number, since 2×511350005252 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51135000529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116814 + ... + 340463.

It is an arithmetic number, because the mean of its divisors is an integer number (1474264272).

Almost surely, 251135000525 is an apocalyptic number.

It is an amenable number.

51135000525 is an abundant number, since it is smaller than the sum of its proper divisors (55012027059).

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

51135000525 is a wasteful number, since it uses less digits than its factorization.

51135000525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457371 (or 457363 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 51135000525 in words is "fifty-one billion, one hundred thirty-five million, five hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 25 35 45 63 71 75 105 175 213 225 315 355 497 525 639 1065 1491 1575 1775 2485 3195 4473 5325 7455 12425 15975 22365 37275 111825 457277 1371831 2286385 3200939 4115493 6859155 9602817 11431925 16004695 20577465 28808451 32466667 34295775 48014085 80023475 97400001 102887325 144042255 162333335 227266669 240070425 292200003 487000005 681800007 720211275 811666675 1136333345 1461000015 2045400021 2435000025 3409000035 5681666725 7305000075 10227000105 17045000175 51135000525