507813 has 16 divisors (see below), whose sum is σ = 729600. Its totient is φ = 313200.

The previous prime is 507809. The next prime is 507821. The reversal of 507813 is 318705.

It is not a de Polignac number, because 507813 - 2² = 507809 is a prime.

It is a Curzon number.

507813 is a lucky number.

It is a plaindrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3288 + ... + 3438.

It is an arithmetic number, because the mean of its divisors is an integer number (45600).

2⁵⁰⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

507813 is a deficient number, since it is larger than the sum of its proper divisors (221787).

507813 is a wasteful number, since it uses less digits than its factorization.

507813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 507813 is about 712.6099915101. The cubic root of 507813 is about 79.7813299204.

The spelling of 507813 in words is "five hundred seven thousand, eight hundred thirteen".