125316084825 has 96 divisors (see below), whose sum is σ = 231755166720. Its totient is φ = 66388377600.

The previous prime is 125316084781. The next prime is 125316084857. The reversal of 125316084825 is 528480613521.

125316084825 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 160 + 8 + 482 + 5 = 666.

It is not a de Polignac number, because 125316084825 - 2¹⁴ = 125316068441 is a prime.

It is a super-2 number, since 2×125316084825² (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, 79971192 + ... + 79972758.

It is an arithmetic number, because the mean of its divisors is an integer number (2414116320).

Almost surely, 2^125316084825 is an apocalyptic number.

125316084825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125316084825 is a deficient number, since it is larger than the sum of its proper divisors (106439081895).

125316084825 is a wasteful number, since it uses less digits than its factorization.

125316084825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 125316084825 in words is "one hundred twenty-five billion, three hundred sixteen million, eighty-four thousand, eight hundred twenty-five".