456131317 has 2 divisors, whose sum is σ = 456131318. Its totient is φ = 456131316.

The previous prime is 456131297. The next prime is 456131329. The reversal of 456131317 is 713131654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 428945521 + 27185796 = 20711^2 + 5214^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456131317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456131387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228065658 + 228065659.

It is an arithmetic number, because the mean of its divisors is an integer number (228065659).

Almost surely, 2^456131317 is an apocalyptic number.

It is an amenable number.

456131317 is a deficient number, since it is larger than the sum of its proper divisors (1).

456131317 is an equidigital number, since it uses as much as digits as its factorization.

456131317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 456131317 is about 21357.2310237072. The cubic root of 456131317 is about 769.7741041967.

The spelling of 456131317 in words is "four hundred fifty-six million, one hundred thirty-one thousand, three hundred seventeen".