513608 has 32 divisors (see below), whose sum is σ = 1056000. Its totient is φ = 233280.

The previous prime is 513593. The next prime is 513631. The reversal of 513608 is 806315.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513608.

It is an unprimeable number.

513608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4658 + ... + 4766.

It is an arithmetic number, because the mean of its divisors is an integer number (33000).

2⁵¹³⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

513608 is an abundant number, since it is smaller than the sum of its proper divisors (542392).

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

513608 is a wasteful number, since it uses less digits than its factorization.

513608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 513608 is about 716.6644961207. The cubic root of 513608 is about 80.0836624769.

The spelling of 513608 in words is "five hundred thirteen thousand, six hundred eight".