321253171264 has 21 divisors (see below), whose sum is σ = 637495759677. Its totient is φ = 160624318464.

The previous prime is 321253171247. The next prime is 321253171271. The reversal of 321253171264 is 462171352123.

The square root of 321253171264 is 566792.

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., 265027276864 + 56225894400 = 514808^2 + 237120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4498912 + ... + 4569760.

It is an arithmetic number, because the mean of its divisors is an integer number (30356940937).

Almost surely, 2^321253171264 is an apocalyptic number.

321253171264 is the 566792-nd square number.

It is an amenable number.

321253171264 is a deficient number, since it is larger than the sum of its proper divisors (316242588413).

321253171264 is an frugal number, since it uses more digits than its factorization.

321253171264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141710 (or 70851 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The spelling of 321253171264 in words is "three hundred twenty-one billion, two hundred fifty-three million, one hundred seventy-one thousand, two hundred sixty-four".