31973709520900 has 81 divisors (see below), whose sum is σ = 80711777344149. Its totient is φ = 10962278984160.

The previous prime is 31973709520873. The next prime is 31973709520981. The reversal of 31973709520900 is 902590737913.

The square root of 31973709520900 is 5654530.

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., 11510535427524 + 20463174093376 = 3392718^2 + 4523624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 395776711 + ... + 395857489.

Almost surely, 2^{31973709520900} is an apocalyptic number.

31973709520900 is the 5654530-th square number.

It is an amenable number.

31973709520900 is an abundant number, since it is smaller than the sum of its proper divisors (48738067823249).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31973709520900 is an frugal number, since it uses more digits than its factorization.

31973709520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161586 (or 80793 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 55.

The spelling of 31973709520900 in words is "thirty-one trillion, nine hundred seventy-three billion, seven hundred nine million, five hundred twenty thousand, nine hundred".