31992688225 has 27 divisors (see below), whose sum is σ = 40248037459. Its totient is φ = 25227119600.

The previous prime is 31992688207. The next prime is 31992688261. The reversal of 31992688225 is 52288629913.

The square root of 31992688225 is 178865.

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

It can be written as a sum of positive squares in only one way, i.e., 11517367761 + 20475320464 = 107319^2 + 143092^2 .

It is not a de Polignac number, because 31992688225 - 2¹¹ = 31992686177 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, 74228760 + ... + 74229190.

Almost surely, 2^31992688225 is an apocalyptic number.

31992688225 is the 178865-th square number.

31992688225 is the 89433-rd centered octagonal number.

It is an amenable number.

31992688225 is a deficient number, since it is larger than the sum of its proper divisors (8255349234).

31992688225 is an frugal number, since it uses more digits than its factorization.

31992688225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The spelling of 31992688225 in words is "thirty-one billion, nine hundred ninety-two million, six hundred eighty-eight thousand, two hundred twenty-five".