5105601005561 has 64 divisors (see below), whose sum is σ = 6302246092800. Its totient is φ = 4128786224640.

The previous prime is 5105601005551. The next prime is 5105601005569. The reversal of 5105601005561 is 1655001065015.

It is not a de Polignac number, because 5105601005561 - 2⁶ = 5105601005497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5105601005569) 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 63 ways as a sum of consecutive naturals, for example, 69066926 + ... + 69140808.

It is an arithmetic number, because the mean of its divisors is an integer number (98472595200).

Almost surely, 2^{5105601005561} is an apocalyptic number.

It is an amenable number.

5105601005561 is a deficient number, since it is larger than the sum of its proper divisors (1196645087239).

5105601005561 is an equidigital number, since it uses as much as digits as its factorization.

5105601005561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74099 (or 74085 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 5105601005561 in words is "five trillion, one hundred five billion, six hundred one million, five thousand, five hundred sixty-one".