518117425056 has 144 divisors (see below), whose sum is σ = 1836961858368. Its totient is φ = 134575948800.

The previous prime is 518117425039. The next prime is 518117425073. The reversal of 518117425056 is 650524711815.

518117425056 is a `hidden beast` number, since 5 + 181 + 174 + 250 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (518117425039) and next prime (518117425073).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×518117425056² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11659765 + ... + 11704116.

It is an arithmetic number, because the mean of its divisors is an integer number (12756679572).

Almost surely, 2^518117425056 is an apocalyptic number.

518117425056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

518117425056 is an abundant number, since it is smaller than the sum of its proper divisors (1318844433312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

518117425056 is a wasteful number, since it uses less digits than its factorization.

518117425056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23363915 (or 23363904 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 518117425056 in words is "five hundred eighteen billion, one hundred seventeen million, four hundred twenty-five thousand, fifty-six".