513410304 has 72 divisors (see below), whose sum is σ = 1490664672. Its totient is φ = 155576320.

The previous prime is 513410299. The next prime is 513410309. The reversal of 513410304 is 403014315.

It is an interprime number because it is at equal distance from previous prime (513410299) and next prime (513410309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513410309) 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, 21939 + ... + 38834.

It is an arithmetic number, because the mean of its divisors is an integer number (20703676).

Almost surely, 2^513410304 is an apocalyptic number.

It is an amenable number.

513410304 is an abundant number, since it is smaller than the sum of its proper divisors (977254368).

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

513410304 is a wasteful number, since it uses less digits than its factorization.

513410304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60803 (or 60789 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 513410304 is about 22658.5591774941. The cubic root of 513410304 is about 800.7338599395.

Adding to 513410304 its reverse (403014315), we get a palindrome (916424619).

The spelling of 513410304 in words is "five hundred thirteen million, four hundred ten thousand, three hundred four".