513734208 has 56 divisors (see below), whose sum is σ = 1463820288. Its totient is φ = 158071296.

The previous prime is 513734191. The next prime is 513734219. The reversal of 513734208 is 802437315.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100416 + ... + 105407.

It is an arithmetic number, because the mean of its divisors is an integer number (26139648).

Almost surely, 2^513734208 is an apocalyptic number.

It is an amenable number.

513734208 is an abundant number, since it is smaller than the sum of its proper divisors (950086080).

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

513734208 is a wasteful number, since it uses less digits than its factorization.

513734208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205851 (or 205841 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 513734208 is about 22665.7055482506. The cubic root of 513734208 is about 800.9022154599.

The spelling of 513734208 in words is "five hundred thirteen million, seven hundred thirty-four thousand, two hundred eight".