5605610560101 has 12 divisors (see below), whose sum is σ = 8573286739212. Its totient is φ = 3517245841536.

The previous prime is 5605610560091. The next prime is 5605610560127. The reversal of 5605610560101 is 1010650165065.

It can be written as a sum of positive squares in 2 ways, for example, as 4358077935201 + 1247532624900 = 2087601^2 + 1116930^2 .

It is not a de Polignac number, because 5605610560101 - 2¹⁴ = 5605610543717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605610560171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18318988606 + ... + 18318988911.

It is an arithmetic number, because the mean of its divisors is an integer number (714440561601).

Almost surely, 2^{5605610560101} is an apocalyptic number.

5605610560101 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5605610560101 is a deficient number, since it is larger than the sum of its proper divisors (2967676179111).

5605610560101 is a wasteful number, since it uses less digits than its factorization.

5605610560101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36637977540 (or 36637977537 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 5605610560101 in words is "five trillion, six hundred five billion, six hundred ten million, five hundred sixty thousand, one hundred one".