513804 has 24 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 167440.

The previous prime is 513781. The next prime is 513829. The reversal of 513804 is 408315.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁵¹³⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

513804 is an abundant number, since it is smaller than the sum of its proper divisors (711924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513804 is a wasteful number, since it uses less digits than its factorization.

513804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 513804 is about 716.8012276775. The cubic root of 513804 is about 80.0938481967.

The spelling of 513804 in words is "five hundred thirteen thousand, eight hundred four".