31767715225 has 27 divisors (see below), whose sum is σ = 40378070493. Its totient is φ = 24793201440.

The previous prime is 31767715181. The next prime is 31767715241. The reversal of 31767715225 is 52251776713.

The square root of 31767715225 is 178235.

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 137804121 + 31629911104 = 11739^2 + 177848^2 .

It is not a de Polignac number, because 31767715225 - 2¹⁹ = 31767190937 is a prime.

It is a super-4 number, since 4×31767715225⁴ (a number of 43 digits) contains 4444 as substring.

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, 38320111 + ... + 38320939.

Almost surely, 2^31767715225 is an apocalyptic number.

31767715225 is the 178235-th square number.

31767715225 is the 89118-th centered octagonal number.

It is an amenable number.

31767715225 is a deficient number, since it is larger than the sum of its proper divisors (8610355268).

31767715225 is an frugal number, since it uses more digits than its factorization.

31767715225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 877 counting only the distinct ones).

The product of its digits is 617400, while the sum is 46.

The spelling of 31767715225 in words is "thirty-one billion, seven hundred sixty-seven million, seven hundred fifteen thousand, two hundred twenty-five".