331313057604 has 243 divisors, whose sum is σ = 905650500573. Its totient is φ = 102115689984.

The previous prime is 331313057599. The next prime is 331313057623. The reversal of 331313057604 is 406750313133.

The square root of 331313057604 is 575598.

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

331313057604 is a `hidden beast` number, since 3 + 3 + 13 + 1 + 30 + 5 + 7 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148772204100 + 182540853504 = 385710^2 + 427248^2 .

It is a super-2 number, since 2×331313057604² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 3415598484 + ... + 3415598580.

Almost surely, 2^331313057604 is an apocalyptic number.

331313057604 is the 575598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331313057604

331313057604 is an abundant number, since it is smaller than the sum of its proper divisors (574337442969).

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

331313057604 is a wasteful number, since it uses less digits than its factorization.

331313057604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

Multiplying 331313057604 by its sum of digits (36), we get a square (11927270073744 = 3453588²).

331313057604 divided by its sum of digits (36) gives a square (9203140489 = 95933²).

The spelling of 331313057604 in words is "three hundred thirty-one billion, three hundred thirteen million, fifty-seven thousand, six hundred four".