313505313 has 48 divisors (see below), whose sum is σ = 492283008. Its totient is φ = 176704000.

The previous prime is 313505281. The next prime is 313505317.

313505313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313505313 - 2⁵ = 313505281 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313505317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623020 + ... + 623522.

It is an arithmetic number, because the mean of its divisors is an integer number (10255896).

Almost surely, 2^313505313 is an apocalyptic number.

313505313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313505313 is a deficient number, since it is larger than the sum of its proper divisors (178777695).

313505313 is a wasteful number, since it uses less digits than its factorization.

313505313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 24.

The square root of 313505313 is about 17706.0812434598. The cubic root of 313505313 is about 679.3313156978.

It can be divided in two parts, 31350 and 5313, that added together give a palindrome (36663).

The spelling of 313505313 in words is "three hundred thirteen million, five hundred five thousand, three hundred thirteen".