319271331681 has 81 divisors (see below), whose sum is σ = 509984302737. Its totient is φ = 192430362960.

The previous prime is 319271331667. The next prime is 319271331737. The reversal of 319271331681 is 186133172913.

The square root of 319271331681 is 565041.

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

319271331681 is a `hidden beast` number, since 3 + 192 + 71 + 3 + 316 + 81 = 666.

It is not a de Polignac number, because 319271331681 - 2¹³ = 319271323489 is a prime.

It is a super-2 number, since 2×319271331681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (319271331641) 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 80 ways as a sum of consecutive naturals, for example, 740768536 + ... + 740768966.

Almost surely, 2^319271331681 is an apocalyptic number.

319271331681 is the 565041-st square number.

319271331681 is the 282521-st centered octagonal number.

It is an amenable number.

319271331681 is a deficient number, since it is larger than the sum of its proper divisors (190712971056).

319271331681 is an equidigital number, since it uses as much as digits as its factorization.

319271331681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 319271331681 in words is "three hundred nineteen billion, two hundred seventy-one million, three hundred thirty-one thousand, six hundred eighty-one".