564256368901 has 8 divisors (see below), whose sum is σ = 597950400600. Its totient is φ = 531511464960.

The previous prime is 564256368859. The next prime is 564256368911. The reversal of 564256368901 is 109863652465.

It is a Cunningham number, because it is equal to 751170²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 564256368900 = 1^2 + 751170^2 .

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 564256368901 - 2²⁵ = 564222814469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564256368911) 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, 237280716 + ... + 237283093.

It is an arithmetic number, because the mean of its divisors is an integer number (74743800075).

Almost surely, 2^564256368901 is an apocalyptic number.

It is an amenable number.

564256368901 is a deficient number, since it is larger than the sum of its proper divisors (33694031699).

564256368901 is a wasteful number, since it uses less digits than its factorization.

564256368901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474563879.

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 564256368901 in words is "five hundred sixty-four billion, two hundred fifty-six million, three hundred sixty-eight thousand, nine hundred one".