513604 has 48 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 188928.

The previous prime is 513593. The next prime is 513631. The reversal of 513604 is 406315.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6147 + ... + 6229.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2⁵¹³⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704).

513604 is an abundant number, since it is smaller than the sum of its proper divisors (671804).

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

513604 is a wasteful number, since it uses less digits than its factorization.

513604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 513604 is about 716.6617054092. The cubic root of 513604 is about 80.0834545781.

Adding to 513604 its reverse (406315), we get a palindrome (919919).

It can be divided in two parts, 51 and 3604, that added together give a triangular number (3655 = T₈₅).

The spelling of 513604 in words is "five hundred thirteen thousand, six hundred four".