565656006105 has 24 divisors (see below), whose sum is σ = 1006969613832. Its totient is φ = 293529602304.

The previous prime is 565656006101. The next prime is 565656006127. The reversal of 565656006105 is 501600656565.

It can be written as a sum of positive squares in 4 ways, for example, as 264574439424 + 301081566681 = 514368^2 + 548709^2 .

It is not a de Polignac number, because 565656006105 - 2² = 565656006101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (565656006101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169865004 + ... + 169868333.

It is an arithmetic number, because the mean of its divisors is an integer number (41957067243).

Almost surely, 2^565656006105 is an apocalyptic number.

It is an amenable number.

565656006105 is a deficient number, since it is larger than the sum of its proper divisors (441313607727).

565656006105 is a wasteful number, since it uses less digits than its factorization.

565656006105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339733385 (or 339733382 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 565656006105 in words is "five hundred sixty-five billion, six hundred fifty-six million, six thousand, one hundred five".