852117115741 has 2 divisors, whose sum is σ = 852117115742. Its totient is φ = 852117115740.

The previous prime is 852117115721. The next prime is 852117115771. The reversal of 852117115741 is 147511711258.

852117115741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 758998152025 + 93118963716 = 871205^2 + 305154^2 .

It is a cyclic number.

It is not a de Polignac number, because 852117115741 - 2⁵ = 852117115709 is a prime.

It is a super-4 number, since 4×852117115741⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (852117115721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426058557870 + 426058557871.

It is an arithmetic number, because the mean of its divisors is an integer number (426058557871).

Almost surely, 2^852117115741 is an apocalyptic number.

It is an amenable number.

852117115741 is a deficient number, since it is larger than the sum of its proper divisors (1).

852117115741 is an equidigital number, since it uses as much as digits as its factorization.

852117115741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 78400, while the sum is 43.

Adding to 852117115741 its reverse (147511711258), we get a palindrome (999628826999).

The spelling of 852117115741 in words is "eight hundred fifty-two billion, one hundred seventeen million, one hundred fifteen thousand, seven hundred forty-one".