3131431072225 has 9 divisors (see below), whose sum is σ = 3882985501017. Its totient is φ = 2505137779440.

The previous prime is 3131431072213. The next prime is 3131431072291. The reversal of 3131431072225 is 5222701341313.

The square root of 3131431072225 is 1769585.

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 1243708957089 + 1887722115136 = 1115217^2 + 1373944^2 .

It is not a de Polignac number, because 3131431072225 - 2²⁵ = 3131397517793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8670967 + ... + 9024883.

Almost surely, 2^{3131431072225} is an apocalyptic number.

3131431072225 is the 1769585-th square number.

3131431072225 is the 884793-rd centered octagonal number.

It is an amenable number.

3131431072225 is a deficient number, since it is larger than the sum of its proper divisors (751554428792).

3131431072225 is an frugal number, since it uses more digits than its factorization.

3131431072225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707844 (or 353922 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 3131431072225 in words is "three trillion, one hundred thirty-one billion, four hundred thirty-one million, seventy-two thousand, two hundred twenty-five".