513200513 has 8 divisors (see below), whose sum is σ = 586789632. Its totient is φ = 439680096.

The previous prime is 513200509. The next prime is 513200581. The reversal of 513200513 is 315002315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513200513 - 2² = 513200509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513200593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 32037.

It is an arithmetic number, because the mean of its divisors is an integer number (73348704).

Almost surely, 2^513200513 is an apocalyptic number.

It is an amenable number.

513200513 is a deficient number, since it is larger than the sum of its proper divisors (73589119).

513200513 is a wasteful number, since it uses less digits than its factorization.

513200513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34351.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 513200513 is about 22653.9293059725. The cubic root of 513200513 is about 800.6247791243.

Adding to 513200513 its reverse (315002315), we get a palindrome (828202828).

The spelling of 513200513 in words is "five hundred thirteen million, two hundred thousand, five hundred thirteen".