513200013 has 16 divisors (see below), whose sum is σ = 726897600. Its totient is φ = 321148800.

The previous prime is 513199991. The next prime is 513200021. The reversal of 513200013 is 310002315.

It is a happy number.

It is not a de Polignac number, because 513200013 - 2¹⁰ = 513198989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513199965 and 513200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513300013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35088 + ... + 47513.

It is an arithmetic number, because the mean of its divisors is an integer number (45431100).

Almost surely, 2^513200013 is an apocalyptic number.

It is an amenable number.

513200013 is a deficient number, since it is larger than the sum of its proper divisors (213697587).

513200013 is a wasteful number, since it uses less digits than its factorization.

513200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82732.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 513200013 is about 22653.9182703567. The cubic root of 513200013 is about 800.6245191138.

Adding to 513200013 its reverse (310002315), we get a palindrome (823202328).

The spelling of 513200013 in words is "five hundred thirteen million, two hundred thousand, thirteen".