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21052540125 = 325333015669
BaseRepresentation
bin10011100110110101…
…000100010011011101
32000100012001211212100
4103212311010103131
5321103422241000
613401004555313
71343462432001
oct234665042335
960305054770
1021052540125
118a23678aa1
1240b6552b39
131ca677c446
141039dcc701
15833379a00
hex4e6d444dd

21052540125 has 48 divisors (see below), whose sum is σ = 37968905520. Its totient is φ = 11222640000.

The previous prime is 21052540109. The next prime is 21052540133. The reversal of 21052540125 is 52104525012.

21052540125 is a `hidden beast` number, since 2 + 10 + 525 + 4 + 0 + 125 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12888152676 + 8164387449 = 113526^2 + 90357^2 .

It is not a de Polignac number, because 21052540125 - 24 = 21052540109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3710791 + ... + 3716459.

It is an arithmetic number, because the mean of its divisors is an integer number (791018865).

Almost surely, 221052540125 is an apocalyptic number.

21052540125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21052540125 is a deficient number, since it is larger than the sum of its proper divisors (16916365395).

21052540125 is a wasteful number, since it uses less digits than its factorization.

21052540125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8991 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 21052540125 in words is "twenty-one billion, fifty-two million, five hundred forty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 3301 5669 9903 16505 17007 28345 29709 49515 51021 82525 85035 141725 148545 247575 255105 412625 425175 708625 742725 1237875 1275525 2125875 3713625 6377625 18713369 56140107 93566845 168420321 280700535 467834225 842101605 1403502675 2339171125 4210508025 7017513375 21052540125