561131141131165 has 24 divisors (see below), whose sum is σ = 757349091997344. Its totient is φ = 398604785224800.

The previous prime is 561131141131097. The next prime is 561131141131193.

561131141131165 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 561131141131165 - 2⁷ = 561131141131037 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10784735491 + ... + 10784787520.

It is an arithmetic number, because the mean of its divisors is an integer number (31556212166556).

Almost surely, 2^{561131141131165} is an apocalyptic number.

561131141131165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

561131141131165 is a deficient number, since it is larger than the sum of its proper divisors (196217950866179).

561131141131165 is a wasteful number, since it uses less digits than its factorization.

561131141131165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21569523081 (or 21569523070 counting only the distinct ones).

The product of its digits is 32400, while the sum is 40.

The spelling of 561131141131165 in words is "five hundred sixty-one trillion, one hundred thirty-one billion, one hundred forty-one million, one hundred thirty-one thousand, one hundred sixty-five".