564000256801 has 8 divisors (see below), whose sum is σ = 582485120000. Its totient is φ = 545533600320.

The previous prime is 564000256753. The next prime is 564000256861. The reversal of 564000256801 is 108652000465.

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 564000256801 - 2²⁷ = 563866039073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564000256861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4488696 + ... + 4612633.

It is an arithmetic number, because the mean of its divisors is an integer number (72810640000).

Almost surely, 2^564000256801 is an apocalyptic number.

It is an amenable number.

564000256801 is a deficient number, since it is larger than the sum of its proper divisors (18484863199).

564000256801 is a wasteful number, since it uses less digits than its factorization.

564000256801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9103359.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 564000256801 in words is "five hundred sixty-four billion, two hundred fifty-six thousand, eight hundred one".