513342208 has 54 divisors (see below), whose sum is σ = 1046019044. Its totient is φ = 251378688.

The previous prime is 513342199. The next prime is 513342211. The reversal of 513342208 is 802243315.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2967210 + ... + 2967382.

Almost surely, 2^513342208 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 513342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523009522).

513342208 is an abundant number, since it is smaller than the sum of its proper divisors (532676836).

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

513342208 is an frugal number, since it uses more digits than its factorization.

513342208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 513342208 is about 22657.0564725429. The cubic root of 513342208 is about 800.6984566870.

The spelling of 513342208 in words is "five hundred thirteen million, three hundred forty-two thousand, two hundred eight".