518272080272815 has 16 divisors (see below), whose sum is σ = 678490342369056. Its totient is φ = 376911219484800.

The previous prime is 518272080272813. The next prime is 518272080272827.

518272080272815 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 518272080272815 - 2¹ = 518272080272813 is a prime.

It is a super-3 number, since 3×518272080272815³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 518272080272815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518272080272813) 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, 172620672 + ... + 175597381.

It is an arithmetic number, because the mean of its divisors is an integer number (42405646398066).

Almost surely, 2^{518272080272815} is an apocalyptic number.

518272080272815 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

518272080272815 is a deficient number, since it is larger than the sum of its proper divisors (160218262096241).

518272080272815 is a wasteful number, since it uses less digits than its factorization.

518272080272815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348245130.

The product of its (nonzero) digits is 10035200, while the sum is 58.

The spelling of 518272080272815 in words is "five hundred eighteen trillion, two hundred seventy-two billion, eighty million, two hundred seventy-two thousand, eight hundred fifteen".