5656116565 has 24 divisors (see below), whose sum is σ = 7479574200. Its totient is φ = 4103003520.

The previous prime is 5656116541. The next prime is 5656116607.

5656116565 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4986289 + 5651130276 = 2233^2 + 75174^2 .

It is not a de Polignac number, because 5656116565 - 2⁵ = 5656116533 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228411 + ... + 251959.

It is an arithmetic number, because the mean of its divisors is an integer number (311648925).

Almost surely, 2^5656116565 is an apocalyptic number.

5656116565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5656116565 is a deficient number, since it is larger than the sum of its proper divisors (1823457635).

5656116565 is a wasteful number, since it uses less digits than its factorization.

5656116565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23973 (or 23962 counting only the distinct ones).

The product of its digits is 810000, while the sum is 46.

The square root of 5656116565 is about 75207.1576713281. The cubic root of 5656116565 is about 1781.7199808954.

It can be divided in two parts, 5656 and 116565, that added together give a palindrome (122221).

The spelling of 5656116565 in words is "five billion, six hundred fifty-six million, one hundred sixteen thousand, five hundred sixty-five".