313553525355313 has 2 divisors, whose sum is σ = 313553525355314. Its totient is φ = 313553525355312.

The previous prime is 313553525355307. The next prime is 313553525355391.

313553525355313 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., 277062949363264 + 36490575992049 = 16645208^2 + 6040743^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313553525355313 - 2³³ = 313544935420721 is a prime.

It is not a weakly prime, because it can be changed into another prime (313553525355013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156776762677656 + 156776762677657.

It is an arithmetic number, because the mean of its divisors is an integer number (156776762677657).

Almost surely, 2^{313553525355313} is an apocalyptic number.

It is an amenable number.

313553525355313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313553525355313 is an equidigital number, since it uses as much as digits as its factorization.

313553525355313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22781250, while the sum is 52.

The spelling of 313553525355313 in words is "three hundred thirteen trillion, five hundred fifty-three billion, five hundred twenty-five million, three hundred fifty-five thousand, three hundred thirteen".