313252313 has 16 divisors (see below), whose sum is σ = 349157952. Its totient is φ = 278616000.

The previous prime is 313252307. The next prime is 313252333.

313252313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313252313 - 2⁸ = 313252057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313252333) 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 15 ways as a sum of consecutive naturals, for example, 332423 + ... + 333363.

It is an arithmetic number, because the mean of its divisors is an integer number (21822372).

Almost surely, 2^313252313 is an apocalyptic number.

It is an amenable number.

313252313 is a deficient number, since it is larger than the sum of its proper divisors (35905639).

313252313 is a wasteful number, since it uses less digits than its factorization.

313252313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576.

The product of its digits is 1620, while the sum is 23.

The square root of 313252313 is about 17698.9353634618. The cubic root of 313252313 is about 679.1485255186.

The spelling of 313252313 in words is "three hundred thirteen million, two hundred fifty-two thousand, three hundred thirteen".