6561116165105 has 8 divisors (see below), whose sum is σ = 7875530719272. Its totient is φ = 5247432051328.

The previous prime is 6561116165101. The next prime is 6561116165117. The reversal of 6561116165105 is 5015616111656.

It can be written as a sum of positive squares in 4 ways, for example, as 114757660081 + 6446358505024 = 338759^2 + 2538968^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6561116165105 - 2² = 6561116165101 is a prime.

It is a super-3 number, since 3×6561116165105³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6561116165101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182590334 + ... + 182626263.

It is an arithmetic number, because the mean of its divisors is an integer number (984441339909).

Almost surely, 2^{6561116165105} is an apocalyptic number.

It is an amenable number.

6561116165105 is a deficient number, since it is larger than the sum of its proper divisors (1314414554167).

6561116165105 is a wasteful number, since it uses less digits than its factorization.

6561116165105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365220195.

The product of its (nonzero) digits is 162000, while the sum is 44.

The spelling of 6561116165105 in words is "six trillion, five hundred sixty-one billion, one hundred sixteen million, one hundred sixty-five thousand, one hundred five".