314253121352413 has 2 divisors, whose sum is σ = 314253121352414. Its totient is φ = 314253121352412.

The previous prime is 314253121352407. The next prime is 314253121352563.

314253121352413 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309437194543929 + 4815926808484 = 17590827^2 + 2194522^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 314253121352413 - 2¹³ = 314253121344221 is a prime.

It is a super-2 number, since 2×314253121352413² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314253121352713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157126560676206 + 157126560676207.

It is an arithmetic number, because the mean of its divisors is an integer number (157126560676207).

Almost surely, 2^{314253121352413} is an apocalyptic number.

It is an amenable number.

314253121352413 is a deficient number, since it is larger than the sum of its proper divisors (1).

314253121352413 is an equidigital number, since it uses as much as digits as its factorization.

314253121352413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 259200, while the sum is 40.

The spelling of 314253121352413 in words is "three hundred fourteen trillion, two hundred fifty-three billion, one hundred twenty-one million, three hundred fifty-two thousand, four hundred thirteen".