513242304 has 28 divisors (see below), whose sum is σ = 1357954104. Its totient is φ = 171080704.

The previous prime is 513242297. The next prime is 513242329. The reversal of 513242304 is 403242315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1336377 + ... + 1336760.

Almost surely, 2^513242304 is an apocalyptic number.

It is an amenable number.

513242304 is an abundant number, since it is smaller than the sum of its proper divisors (844711800).

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

513242304 is a wasteful number, since it uses less digits than its factorization.

513242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673152 (or 2673142 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 513242304 is about 22654.8516658132. The cubic root of 513242304 is about 800.6465107224.

Adding to 513242304 its reverse (403242315), we get a palindrome (916484619).

It can be divided in two parts, 51324 and 2304, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 513242304 in words is "five hundred thirteen million, two hundred forty-two thousand, three hundred four".