125304102513 has 48 divisors (see below), whose sum is σ = 187959163392. Its totient is φ = 80355744000.

The previous prime is 125304102493. The next prime is 125304102587. The reversal of 125304102513 is 315201403521.

125304102513 is a `hidden beast` number, since 12 + 5 + 30 + 4 + 102 + 513 = 666.

It is not a de Polignac number, because 125304102513 - 2⁵ = 125304102481 is a prime.

It is a super-2 number, since 2×125304102513² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125304102713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36140206 + ... + 36143672.

It is an arithmetic number, because the mean of its divisors is an integer number (3915815904).

Almost surely, 2^125304102513 is an apocalyptic number.

It is an amenable number.

125304102513 is a deficient number, since it is larger than the sum of its proper divisors (62655060879).

125304102513 is a wasteful number, since it uses less digits than its factorization.

125304102513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 125304102513 in words is "one hundred twenty-five billion, three hundred four million, one hundred two thousand, five hundred thirteen".