319325577921 has 81 divisors (see below), whose sum is σ = 545657115393. Its totient is φ = 179427059280.

The previous prime is 319325577841. The next prime is 319325577941. The reversal of 319325577921 is 129775523913.

It is a happy number.

The square root of 319325577921 is 565089.

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

319325577921 is a `hidden beast` number, since 3 + 19 + 3 + 2 + 557 + 79 + 2 + 1 = 666.

It is not a de Polignac number, because 319325577921 - 2⁷ = 319325577793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (319325577941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 842547510 + ... + 842547888.

Almost surely, 2^319325577921 is an apocalyptic number.

319325577921 is the 565089-th square number.

319325577921 is the 282545-th centered octagonal number.

It is an amenable number.

319325577921 is a deficient number, since it is larger than the sum of its proper divisors (226331537472).

319325577921 is an frugal number, since it uses more digits than its factorization.

319325577921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 460 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 54.

The spelling of 319325577921 in words is "three hundred nineteen billion, three hundred twenty-five million, five hundred seventy-seven thousand, nine hundred twenty-one".