55106000561 has 12 divisors (see below), whose sum is σ = 58190472900. Its totient is φ = 52177402368.

The previous prime is 55106000539. The next prime is 55106000581. The reversal of 55106000561 is 16500060155.

55106000561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34500833536 + 20605167025 = 185744^2 + 143545^2 .

It is not a de Polignac number, because 55106000561 - 2¹⁰ = 55105999537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55106000501) 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, 641525 + ... + 722333.

It is an arithmetic number, because the mean of its divisors is an integer number (4849206075).

Almost surely, 2^55106000561 is an apocalyptic number.

It is an amenable number.

55106000561 is a deficient number, since it is larger than the sum of its proper divisors (3084472339).

55106000561 is a wasteful number, since it uses less digits than its factorization.

55106000561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82736 (or 82717 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 55106000561 in words is "fifty-five billion, one hundred six million, five hundred sixty-one", and thus it is an aban number.