518385583815 has 32 divisors (see below), whose sum is σ = 904856486400. Its totient is φ = 251327905920.

The previous prime is 518385583787. The next prime is 518385583819.

It is a happy number.

518385583815 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 518385583815 - 2¹⁴ = 518385567431 is a prime.

It is a super-2 number, since 2×518385583815² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518385583819) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5090821 + ... + 5191649.

It is an arithmetic number, because the mean of its divisors is an integer number (28276765200).

Almost surely, 2^518385583815 is an apocalyptic number.

518385583815 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

518385583815 is a deficient number, since it is larger than the sum of its proper divisors (386470902585).

518385583815 is a wasteful number, since it uses less digits than its factorization.

518385583815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132007.

The product of its digits is 23040000, while the sum is 60.

The spelling of 518385583815 in words is "five hundred eighteen billion, three hundred eighty-five million, five hundred eighty-three thousand, eight hundred fifteen".