125731929650625 has 135 divisors (see below), whose sum is σ = 231947572988703. Its totient is φ = 65609651880000.

The previous prime is 125731929650497. The next prime is 125731929650633. The reversal of 125731929650625 is 526056929137521.

The square root of 125731929650625 is 11213025.

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

125731929650625 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 3 + 19 + 2 + 96 + 506 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 125725605584049 + 6324066576 = 11212743^2 + 79524^2 .

It is not a de Polignac number, because 125731929650625 - 2⁷ = 125731929650497 is a prime.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 39525911535 + ... + 39525914715.

Almost surely, 2^{125731929650625} is an apocalyptic number.

125731929650625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125731929650625 is the 11213025-th square number.

125731929650625 is the 5606513-rd centered octagonal number.

It is an amenable number.

125731929650625 is a deficient number, since it is larger than the sum of its proper divisors (106215643338078).

125731929650625 is an frugal number, since it uses more digits than its factorization.

125731929650625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 125731929650625 in words is "one hundred twenty-five trillion, seven hundred thirty-one billion, nine hundred twenty-nine million, six hundred fifty thousand, six hundred twenty-five".