513304 has 32 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 220320.

The previous prime is 513283. The next prime is 513307. The reversal of 513304 is 403315.

513304 = T₁₄₅ + T₁₄₆ + ... + T₁₈₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1519 + ... + 1825.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2⁵¹³³⁰⁴ 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 513304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400).

513304 is an abundant number, since it is smaller than the sum of its proper divisors (595496).

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

513304 is a wasteful number, since it uses less digits than its factorization.

513304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 513304 is about 716.4523710617. The cubic root of 513304 is about 80.0678590897.

Adding to 513304 its reverse (403315), we get a palindrome (916619).

The spelling of 513304 in words is "five hundred thirteen thousand, three hundred four".