31349528874225 has 81 divisors (see below), whose sum is σ = 58025043792417. Its totient is φ = 16179058224000.

The previous prime is 31349528874203. The next prime is 31349528874263. The reversal of 31349528874225 is 52247882594313.

The square root of 31349528874225 is 5599065.

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

31349528874225 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 9 + 528 + 87 + 4 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1041417441 + 31348487456784 = 32271^2 + 5598972^2 .

It is not a de Polignac number, because 31349528874225 - 2²³ = 31349520485617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2603559205 + ... + 2603571245.

Almost surely, 2^{31349528874225} is an apocalyptic number.

31349528874225 is the 5599065-th square number.

31349528874225 is the 2799533-rd centered octagonal number.

It is an amenable number.

31349528874225 is a deficient number, since it is larger than the sum of its proper divisors (26675514918192).

31349528874225 is an frugal number, since it uses more digits than its factorization.

31349528874225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24160 (or 12080 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 31349528874225 in words is "thirty-one trillion, three hundred forty-nine billion, five hundred twenty-eight million, eight hundred seventy-four thousand, two hundred twenty-five".