5107713000625 has 15 divisors (see below), whose sum is σ = 6382668769543. Its totient is φ = 4086125200000.

The previous prime is 5107713000541. The next prime is 5107713000641. The reversal of 5107713000625 is 5260003177015.

The square root of 5107713000625 is 2260025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4831524913329 + 276188087296 = 2198073^2 + 525536^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5107713000625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 56455425 + ... + 56545825.

Almost surely, 2^{5107713000625} is an apocalyptic number.

5107713000625 is the 2260025-th square number.

5107713000625 is the 1130013-rd centered octagonal number.

It is an amenable number.

5107713000625 is a deficient number, since it is larger than the sum of its proper divisors (1274955768918).

5107713000625 is an frugal number, since it uses more digits than its factorization.

5107713000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180822 (or 90406 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The spelling of 5107713000625 in words is "five trillion, one hundred seven billion, seven hundred thirteen million, six hundred twenty-five", and thus it is an aban number.