313306257 has 16 divisors (see below), whose sum is σ = 479704320. Its totient is φ = 179888400.

The previous prime is 313306247. The next prime is 313306321. The reversal of 313306257 is 752603313.

It is not a de Polignac number, because 313306257 - 2⁴ = 313306241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313306247) 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 in 15 ways as a sum of consecutive naturals, for example, 249219 + ... + 250472.

It is an arithmetic number, because the mean of its divisors is an integer number (29981520).

Almost surely, 2^313306257 is an apocalyptic number.

It is an amenable number.

313306257 is a deficient number, since it is larger than the sum of its proper divisors (166398063).

313306257 is a wasteful number, since it uses less digits than its factorization.

313306257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499724.

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 313306257 is about 17700.4592313307. The cubic root of 313306257 is about 679.1875078168.

The spelling of 313306257 in words is "three hundred thirteen million, three hundred six thousand, two hundred fifty-seven".