313007182456081 has 3 divisors (see below), whose sum is σ = 313007200148091. Its totient is φ = 313007164764072.

The previous prime is 313007182456039. The next prime is 313007182456097. The reversal of 313007182456081 is 180654281700313.

The square root of 313007182456081 is 17692009.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 89613505206481 + 223393677249600 = 9466441^2 + 14946360^2 .

It is not a de Polignac number, because 313007182456081 - 2¹⁷ = 313007182325009 is a prime.

It is a super-2 number, since 2×313007182456081² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313007182456681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8846005 + ... + 26538013.

It is an arithmetic number, because the mean of its divisors is an integer number (104335733382697).

Almost surely, 2^{313007182456081} is an apocalyptic number.

313007182456081 is the 17692009-th square number.

313007182456081 is the 8846005-th centered octagonal number.

It is an amenable number.

313007182456081 is a deficient number, since it is larger than the sum of its proper divisors (17692010).

313007182456081 is an frugal number, since it uses more digits than its factorization.

313007182456081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35384018 (or 17692009 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 313007182456081 in words is "three hundred thirteen trillion, seven billion, one hundred eighty-two million, four hundred fifty-six thousand, eighty-one".