52117105113217 has 6 divisors (see below), whose sum is σ = 54481586253122. Its totient is φ = 49851144020832.

The previous prime is 52117105113179. The next prime is 52117105113221. The reversal of 52117105113217 is 71231150171125.

52117105113217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42094156976001 + 10022948137216 = 6488001^2 + 3165904^2 .

It is not a de Polignac number, because 52117105113217 - 2⁷ = 52117105113089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52117105119217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49260023208 + ... + 49260024265.

Almost surely, 2^{52117105113217} is an apocalyptic number.

It is an amenable number.

52117105113217 is a deficient number, since it is larger than the sum of its proper divisors (2364481139905).

52117105113217 is an equidigital number, since it uses as much as digits as its factorization.

52117105113217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98520047519 (or 98520047496 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 37.

The spelling of 52117105113217 in words is "fifty-two trillion, one hundred seventeen billion, one hundred five million, one hundred thirteen thousand, two hundred seventeen".