517413022848 has 72 divisors (see below), whose sum is σ = 1488980128545. Its totient is φ = 172462869504.

The previous prime is 517413022811. The next prime is 517413022939. The reversal of 517413022848 is 848220314715.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

517413022848 is a `hidden beast` number, since 5 + 1 + 7 + 413 + 0 + 228 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 352180528704 + 165232494144 = 593448^2 + 406488^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=508632.

It is a super-2 number, since 2×517413022848² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24403740 + ... + 24424932.

Almost surely, 2^517413022848 is an apocalyptic number.

It is an amenable number.

517413022848 is an abundant number, since it is smaller than the sum of its proper divisors (971567105697).

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

517413022848 is an frugal number, since it uses more digits than its factorization.

517413022848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42406 (or 21198 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 517413022848 in words is "five hundred seventeen billion, four hundred thirteen million, twenty-two thousand, eight hundred forty-eight".