6105660561 has 144 divisors (see below), whose sum is σ = 12236814720. Its totient is φ = 2846638080.

The previous prime is 6105660557. The next prime is 6105660593. The reversal of 6105660561 is 1650665016.

6105660561 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6105660561 - 2² = 6105660557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105664561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4332625 + ... + 4334033.

It is an arithmetic number, because the mean of its divisors is an integer number (84977880).

Almost surely, 2^6105660561 is an apocalyptic number.

It is an amenable number.

6105660561 is an abundant number, since it is smaller than the sum of its proper divisors (6131154159).

6105660561 is a wasteful number, since it uses less digits than its factorization.

6105660561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6105660561 is about 78138.7263845527. The cubic root of 6105660561 is about 1827.7251398054.

It can be divided in two parts, 6105 and 660561, that added together give a palindrome (666666).

The spelling of 6105660561 in words is "six billion, one hundred five million, six hundred sixty thousand, five hundred sixty-one".