12795835567117 has 2 divisors, whose sum is σ = 12795835567118. Its totient is φ = 12795835567116.

The previous prime is 12795835567111. The next prime is 12795835567189. The reversal of 12795835567117 is 71176553859721.

12795835567117 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., 8389891833961 + 4405943733156 = 2896531^2 + 2099034^2 .

It is a cyclic number.

It is not a de Polignac number, because 12795835567117 - 2⁷ = 12795835566989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12795835567111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6397917783558 + 6397917783559.

It is an arithmetic number, because the mean of its divisors is an integer number (6397917783559).

Almost surely, 2^{12795835567117} is an apocalyptic number.

It is an amenable number.

12795835567117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12795835567117 is an equidigital number, since it uses as much as digits as its factorization.

12795835567117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 111132000, while the sum is 67.

The spelling of 12795835567117 in words is "twelve trillion, seven hundred ninety-five billion, eight hundred thirty-five million, five hundred sixty-seven thousand, one hundred seventeen".