513008 has 10 divisors (see below), whose sum is σ = 993984. Its totient is φ = 256496.

The previous prime is 513001. The next prime is 513013. The reversal of 513008 is 800315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513001) by changing a digit.

513008 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 as a sum of consecutive naturals, namely, 16016 + ... + 16047.

2⁵¹³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

513008 is a deficient number, since it is larger than the sum of its proper divisors (480976).

513008 is a wasteful number, since it uses less digits than its factorization.

513008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32071 (or 32065 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 513008 is about 716.2457678758. The cubic root of 513008 is about 80.0524655845.

The spelling of 513008 in words is "five hundred thirteen thousand, eight".