56565610051601 has 8 divisors (see below), whose sum is σ = 64646605625664. Its totient is φ = 48484663012080.

The previous prime is 56565610051549. The next prime is 56565610051607. The reversal of 56565610051601 is 10615001656565.

56565610051601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 56565610051601 - 2¹⁸ = 56565609789457 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56565610051607) 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 7 ways as a sum of consecutive naturals, for example, 9600950 + ... + 14328623.

It is an arithmetic number, because the mean of its divisors is an integer number (8080825703208).

Almost surely, 2^{56565610051601} is an apocalyptic number.

It is an amenable number.

56565610051601 is a deficient number, since it is larger than the sum of its proper divisors (8080995574063).

56565610051601 is a wasteful number, since it uses less digits than its factorization.

56565610051601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24267271.

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 56565610051601 in words is "fifty-six trillion, five hundred sixty-five billion, six hundred ten million, fifty-one thousand, six hundred one".