852117115753 has 16 divisors (see below), whose sum is σ = 875545572096. Its totient is φ = 828912389760.

The previous prime is 852117115741. The next prime is 852117115771. The reversal of 852117115753 is 357511711258.

It is a cyclic number.

It is not a de Polignac number, because 852117115753 - 2⁵ = 852117115721 is a prime.

It is a super-2 number, since 2×852117115753² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852117115783) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29997325 + ... + 30025717.

It is an arithmetic number, because the mean of its divisors is an integer number (54721598256).

Almost surely, 2^852117115753 is an apocalyptic number.

It is an amenable number.

852117115753 is a deficient number, since it is larger than the sum of its proper divisors (23428456343).

852117115753 is a wasteful number, since it uses less digits than its factorization.

852117115753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32304.

The product of its digits is 294000, while the sum is 46.

The spelling of 852117115753 in words is "eight hundred fifty-two billion, one hundred seventeen million, one hundred fifteen thousand, seven hundred fifty-three".