6561116165117 has 2 divisors, whose sum is σ = 6561116165118. Its totient is φ = 6561116165116.

The previous prime is 6561116165101. The next prime is 6561116165137. The reversal of 6561116165117 is 7115616111656.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4760028699001 + 1801087466116 = 2181749^2 + 1342046^2 .

It is a cyclic number.

It is not a de Polignac number, because 6561116165117 - 2⁴ = 6561116165101 is a prime.

It is a super-3 number, since 3×6561116165117³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6561116165137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3280558082558 + 3280558082559.

It is an arithmetic number, because the mean of its divisors is an integer number (3280558082559).

Almost surely, 2^{6561116165117} is an apocalyptic number.

It is an amenable number.

6561116165117 is a deficient number, since it is larger than the sum of its proper divisors (1).

6561116165117 is an equidigital number, since it uses as much as digits as its factorization.

6561116165117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 226800, while the sum is 47.

The spelling of 6561116165117 in words is "six trillion, five hundred sixty-one billion, one hundred sixteen million, one hundred sixty-five thousand, one hundred seventeen".