513922304 has 144 divisors (see below), whose sum is σ = 1260150528. Its totient is φ = 204374016.

The previous prime is 513922303. The next prime is 513922313. The reversal of 513922304 is 403229315.

It is a super-2 number, since 2×513922304² = 528232269097336832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513922303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1524824 + ... + 1525160.

Almost surely, 2^513922304 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 513922304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630075264).

513922304 is an abundant number, since it is smaller than the sum of its proper divisors (746228224).

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

513922304 is a wasteful number, since it uses less digits than its factorization.

513922304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 513922304 is about 22669.8545209271. The cubic root of 513922304 is about 800.9999496052. Note that the first 4 decimals are identical.

The spelling of 513922304 in words is "five hundred thirteen million, nine hundred twenty-two thousand, three hundred four".