55105616565 has 12 divisors (see below), whose sum is σ = 95516402124. Its totient is φ = 29389662144.

The previous prime is 55105616551. The next prime is 55105616567. The reversal of 55105616565 is 56561650155.

It can be written as a sum of positive squares in 2 ways, for example, as 13291092369 + 41814524196 = 115287^2 + 204486^2 .

It is not a de Polignac number, because 55105616565 - 2¹² = 55105612469 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1224569257 = 55105616565 / (5 + 5 + 1 + 0 + 5 + 6 + 1 + 6 + 5 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 55105616565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55105616567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612284584 + ... + 612284673.

It is an arithmetic number, because the mean of its divisors is an integer number (7959700177).

Almost surely, 2^55105616565 is an apocalyptic number.

It is an amenable number.

55105616565 is a deficient number, since it is larger than the sum of its proper divisors (40410785559).

55105616565 is a wasteful number, since it uses less digits than its factorization.

55105616565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224569268 (or 1224569265 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 55105616565 in words is "fifty-five billion, one hundred five million, six hundred sixteen thousand, five hundred sixty-five".