313420760257 has 12 divisors (see below), whose sum is σ = 344650658688. Its totient is φ = 284806511000.

The previous prime is 313420760249. The next prime is 313420760273. The reversal of 313420760257 is 752067024313.

It is not a de Polignac number, because 313420760257 - 2³ = 313420760249 is a prime.

It is a super-3 number, since 3×313420760257³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313420760297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266413 + ... + 835354.

It is an arithmetic number, because the mean of its divisors is an integer number (28720888224).

Almost surely, 2^313420760257 is an apocalyptic number.

It is an amenable number.

313420760257 is a deficient number, since it is larger than the sum of its proper divisors (31229898431).

313420760257 is a wasteful number, since it uses less digits than its factorization.

313420760257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104140 (or 1104129 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 313420760257 in words is "three hundred thirteen billion, four hundred twenty million, seven hundred sixty thousand, two hundred fifty-seven".