564110001 has 135 divisors (see below), whose sum is σ = 1099333521. Its totient is φ = 287292096.

The previous prime is 564109979. The next prime is 564110003. The reversal of 564110001 is 100011465.

The square root of 564110001 is 23751.

It is a perfect power (a square), and thus also a powerful number.

564110001 is a `hidden beast` number, since 564 + 1 + 100 + 0 + 1 = 666.

564110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72335025 + 491774976 = 8505^2 + 22176^2 .

It is not a de Polignac number, because 564110001 - 2⁵ = 564109969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564110003) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19452055 + ... + 19452083.

Almost surely, 2^564110001 is an apocalyptic number.

564110001 is the 23751-st square number.

564110001 is the 11876-th centered octagonal number.

It is an amenable number.

564110001 is a deficient number, since it is larger than the sum of its proper divisors (535223520).

564110001 is a wasteful number, since it uses less digits than its factorization.

564110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The cubic root of 564110001 is about 826.2686332992.

Adding to 564110001 its reverse (100011465), we get a palindrome (664121466).

The spelling of 564110001 in words is "five hundred sixty-four million, one hundred ten thousand, one".