518216013 has 72 divisors (see below), whose sum is σ = 956779200. Its totient is φ = 268240896.

The previous prime is 518216009. The next prime is 518216029. The reversal of 518216013 is 310612815.

518216013 is a `hidden beast` number, since 51 + 8 + 2 + 1 + 601 + 3 = 666.

It is not a de Polignac number, because 518216013 - 2² = 518216009 is a prime.

It is a super-2 number, since 2×518216013² = 537095672259232338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518216003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191373 + ... + 194061.

It is an arithmetic number, because the mean of its divisors is an integer number (13288600).

Almost surely, 2^518216013 is an apocalyptic number.

It is an amenable number.

518216013 is a deficient number, since it is larger than the sum of its proper divisors (438563187).

518216013 is a wasteful number, since it uses less digits than its factorization.

518216013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 518216013 is about 22764.3583920127. The cubic root of 518216013 is about 803.2244926185.

Adding to 518216013 its reverse (310612815), we get a palindrome (828828828).

The spelling of 518216013 in words is "five hundred eighteen million, two hundred sixteen thousand, thirteen".