561242165 has 48 divisors (see below), whose sum is σ = 790652016. Its totient is φ = 380835840.

The previous prime is 561242147. The next prime is 561242173.

561242165 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 26615281 + 534626884 = 5159^2 + 23122^2 .

It is not a de Polignac number, because 561242165 - 2⁸ = 561241909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2026007 + ... + 2026283.

It is an arithmetic number, because the mean of its divisors is an integer number (16471917).

Almost surely, 2^561242165 is an apocalyptic number.

561242165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

561242165 is a deficient number, since it is larger than the sum of its proper divisors (229409851).

561242165 is a wasteful number, since it uses less digits than its factorization.

561242165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 561242165 is about 23690.5501202484. The cubic root of 561242165 is about 824.8660523274.

The spelling of 561242165 in words is "five hundred sixty-one million, two hundred forty-two thousand, one hundred sixty-five".