513796608 has 200 divisors, whose sum is σ = 1653245748. Its totient is φ = 157925376.

The previous prime is 513796597. The next prime is 513796663. The reversal of 513796608 is 806697315.

It is a happy number.

513796608 is a `hidden beast` number, since 5 + 1 + 37 + 9 + 6 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 485409024 + 28387584 = 22032^2 + 5328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 538660 + ... + 539612.

Almost surely, 2^513796608 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 513796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826622874).

513796608 is an abundant number, since it is smaller than the sum of its proper divisors (1139449140).

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

513796608 is an equidigital number, since it uses as much as digits as its factorization.

513796608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 513796608 is about 22667.0820354099. The cubic root of 513796608 is about 800.9346409659.

The spelling of 513796608 in words is "five hundred thirteen million, seven hundred ninety-six thousand, six hundred eight".