31073957657604 has 135 divisors (see below), whose sum is σ = 86297724261903. Its totient is φ = 9748157455872.

The previous prime is 31073957657543. The next prime is 31073957657609. The reversal of 31073957657604 is 40675675937013.

The square root of 31073957657604 is 5574402.

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

31073957657604 is a `hidden beast` number, since 3 + 1 + 0 + 7 + 3 + 9 + 57 + 6 + 576 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1806080004 + 31072151577600 = 42498^2 + 5574240^2 .

It is not an unprimeable number, because it can be changed into a prime (31073957657609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1705757904 + ... + 1705776120.

Almost surely, 2^{31073957657604} is an apocalyptic number.

31073957657604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31073957657604 is the 5574402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31073957657604

31073957657604 is an abundant number, since it is smaller than the sum of its proper divisors (55223766604299).

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

31073957657604 is an frugal number, since it uses more digits than its factorization.

31073957657604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36484 (or 18239 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 63.

The spelling of 31073957657604 in words is "thirty-one trillion, seventy-three billion, nine hundred fifty-seven million, six hundred fifty-seven thousand, six hundred four".