52100029917 has 24 divisors (see below), whose sum is σ = 83021193528. Its totient is φ = 31279564800.

The previous prime is 52100029873. The next prime is 52100029951. The reversal of 52100029917 is 71992000125.

It can be written as a sum of positive squares in 4 ways, for example, as 7198843716 + 44901186201 = 84846^2 + 211899^2 .

It is not a de Polignac number, because 52100029917 - 2²⁸ = 51831594461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52100029957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5425684 + ... + 5435277.

It is an arithmetic number, because the mean of its divisors is an integer number (3459216397).

Almost surely, 2^52100029917 is an apocalyptic number.

It is an amenable number.

52100029917 is a deficient number, since it is larger than the sum of its proper divisors (30921163611).

52100029917 is a wasteful number, since it uses less digits than its factorization.

52100029917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10861021 (or 10861018 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 52100029917 in words is "fifty-two billion, one hundred million, twenty-nine thousand, nine hundred seventeen".