506164552117 has 16 divisors (see below), whose sum is σ = 598445510400. Its totient is φ = 418877746560.

The previous prime is 506164552067. The next prime is 506164552193. The reversal of 506164552117 is 711255461605.

It is a happy number.

It is not a de Polignac number, because 506164552117 - 2³¹ = 504017068469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506164552717) 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, 8423184 + ... + 8483062.

It is an arithmetic number, because the mean of its divisors is an integer number (37402844400).

Almost surely, 2^506164552117 is an apocalyptic number.

It is an amenable number.

506164552117 is a deficient number, since it is larger than the sum of its proper divisors (92280958283).

506164552117 is a wasteful number, since it uses less digits than its factorization.

506164552117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101556.

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 506164552117 in words is "five hundred six billion, one hundred sixty-four million, five hundred fifty-two thousand, one hundred seventeen".