125727365025 has 96 divisors (see below), whose sum is σ = 242049150720. Its totient is φ = 63862064640.

The previous prime is 125727365017. The next prime is 125727365033. The reversal of 125727365025 is 520563727521.

125727365025 is a `hidden beast` number, since 1 + 2 + 5 + 72 + 73 + 6 + 502 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (125727365017) and next prime (125727365033).

It is not a de Polignac number, because 125727365025 - 2³ = 125727365017 is a prime.

It is a super-2 number, since 2×125727365025² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3599947 + ... + 3634703.

It is an arithmetic number, because the mean of its divisors is an integer number (2521345320).

Almost surely, 2^125727365025 is an apocalyptic number.

125727365025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125727365025 is a deficient number, since it is larger than the sum of its proper divisors (116321785695).

125727365025 is a wasteful number, since it uses less digits than its factorization.

125727365025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35032 (or 35021 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 125727365025 in words is "one hundred twenty-five billion, seven hundred twenty-seven million, three hundred sixty-five thousand, twenty-five".