561363165 has 72 divisors (see below), whose sum is σ = 1079061984. Its totient is φ = 269755200.

The previous prime is 561363119. The next prime is 561363167.

561363165 is a `hidden beast` number, since 5 + 6 + 13 + 631 + 6 + 5 = 666.

561363165 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 561363165 - 2⁹ = 561362653 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561363167) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 712902 + ... + 713688.

It is an arithmetic number, because the mean of its divisors is an integer number (14986972).

Almost surely, 2^561363165 is an apocalyptic number.

561363165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

561363165 is a deficient number, since it is larger than the sum of its proper divisors (517698819).

561363165 is a wasteful number, since it uses less digits than its factorization.

561363165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 937 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 561363165 is about 23693.1037434946. The cubic root of 561363165 is about 824.9253265746.

The spelling of 561363165 in words is "five hundred sixty-one million, three hundred sixty-three thousand, one hundred sixty-five".