6561116165109 has 16 divisors (see below), whose sum is σ = 9765382201344. Its totient is φ = 3883958828400.

The previous prime is 6561116165101. The next prime is 6561116165117. The reversal of 6561116165109 is 9015616111656.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6561116165101) and next prime (6561116165117).

It is not a de Polignac number, because 6561116165109 - 2³ = 6561116165101 is a prime.

It is a super-3 number, since 3×6561116165109³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2311878837 + ... + 2311881674.

It is an arithmetic number, because the mean of its divisors is an integer number (610336387584).

Almost surely, 2^{6561116165109} is an apocalyptic number.

It is an amenable number.

6561116165109 is a deficient number, since it is larger than the sum of its proper divisors (3204266036235).

6561116165109 is a wasteful number, since it uses less digits than its factorization.

6561116165109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623760568.

The product of its (nonzero) digits is 291600, while the sum is 48.

The spelling of 6561116165109 in words is "six trillion, five hundred sixty-one billion, one hundred sixteen million, one hundred sixty-five thousand, one hundred nine".