31536432225 has 27 divisors (see below), whose sum is σ = 56490025683. Its totient is φ = 16818009840.

The previous prime is 31536432217. The next prime is 31536432253. The reversal of 31536432225 is 52223463513.

The square root of 31536432225 is 177585.

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

31536432225 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 643 + 2 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11353115601 + 20183316624 = 106551^2 + 142068^2 .

It is not a de Polignac number, because 31536432225 - 2³ = 31536432217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31536432225.

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, 2657856 + ... + 2669694.

Almost surely, 2^31536432225 is an apocalyptic number.

31536432225 is the 177585-th square number.

31536432225 is the 88793-rd centered octagonal number.

It is an amenable number.

31536432225 is a deficient number, since it is larger than the sum of its proper divisors (24953593458).

31536432225 is an frugal number, since it uses more digits than its factorization.

31536432225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23694 (or 11847 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Multiplying 31536432225 by its sum of digits (36), we get a square (1135311560100 = 1065510²).

Adding to 31536432225 its reverse (52223463513), we get a palindrome (83759895738).

It can be divided in two parts, 31536 and 432225, that added together give a square (463761 = 681²).

The spelling of 31536432225 in words is "thirty-one billion, five hundred thirty-six million, four hundred thirty-two thousand, two hundred twenty-five".