125687975625 has 135 divisors (see below), whose sum is σ = 236406949779. Its totient is φ = 64325016000.

The previous prime is 125687975617. The next prime is 125687975629. The reversal of 125687975625 is 526579786521.

The square root of 125687975625 is 354525.

It is a perfect power (a square), and thus also a powerful number.

125687975625 is a `hidden beast` number, since 1 + 2 + 5 + 68 + 7 + 9 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 94005399609 + 31682576016 = 306603^2 + 177996^2 .

It is not a de Polignac number, because 125687975625 - 2³ = 125687975617 is a prime.

Its product of digits (63504000) is a multiple of the sum of its prime divisors (200).

It is not an unprimeable number, because it can be changed into a prime (125687975629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 771091794 + ... + 771091956.

Almost surely, 2^125687975625 is an apocalyptic number.

125687975625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125687975625 is the 354525-th square number.

125687975625 is the 177263-rd centered octagonal number.

It is an amenable number.

125687975625 is a deficient number, since it is larger than the sum of its proper divisors (110718974154).

125687975625 is an frugal number, since it uses more digits than its factorization.

125687975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 200 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 125687975625 in words is "one hundred twenty-five billion, six hundred eighty-seven million, nine hundred seventy-five thousand, six hundred twenty-five".