31907077363225 has 27 divisors (see below), whose sum is σ = 39650659481181. Its totient is φ = 25470373051200.

The previous prime is 31907077363201. The next prime is 31907077363267. The reversal of 31907077363225 is 52236377070913.

The square root of 31907077363225 is 5648635.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15025135755529 + 16881941607696 = 3876227^2 + 4108764^2 .

It is not a de Polignac number, because 31907077363225 - 2²⁹ = 31906540492313 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17426038060 + ... + 17426039890.

Almost surely, 2^{31907077363225} is an apocalyptic number.

31907077363225 is the 5648635-th square number.

31907077363225 is the 2824318-th centered octagonal number.

It is an amenable number.

31907077363225 is a deficient number, since it is larger than the sum of its proper divisors (7743582117956).

31907077363225 is an frugal number, since it uses more digits than its factorization.

31907077363225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 55.

The spelling of 31907077363225 in words is "thirty-one trillion, nine hundred seven billion, seventy-seven million, three hundred sixty-three thousand, two hundred twenty-five".