561351153165 has 64 divisors (see below), whose sum is σ = 1064652595200. Its totient is φ = 249527865600.

The previous prime is 561351153151. The next prime is 561351153191.

561351153165 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 561351153165 - 2⁵ = 561351153133 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790870 + ... + 2985239.

It is an arithmetic number, because the mean of its divisors is an integer number (16635196800).

Almost surely, 2^561351153165 is an apocalyptic number.

561351153165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

561351153165 is a deficient number, since it is larger than the sum of its proper divisors (503301442035).

561351153165 is a wasteful number, since it uses less digits than its factorization.

561351153165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776178.

The product of its digits is 202500, while the sum is 42.

The spelling of 561351153165 in words is "five hundred sixty-one billion, three hundred fifty-one million, one hundred fifty-three thousand, one hundred sixty-five".