315513 has 12 divisors (see below), whose sum is σ = 497328. Its totient is φ = 191160.

The previous prime is 315493. The next prime is 315517.

It is a happy number.

315513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315513 - 2⁵ = 315481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1495 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (41444).

2³¹⁵⁵¹³ is an apocalyptic number.

315513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315513 is a deficient number, since it is larger than the sum of its proper divisors (181815).

315513 is a wasteful number, since it uses less digits than its factorization.

315513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3201 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 315513 is about 561.7054388200. The cubic root of 315513 is about 68.0778376265.

It can be divided in two parts, 315 and 513, that added together give a palindrome (828).

The spelling of 315513 in words is "three hundred fifteen thousand, five hundred thirteen".