564100001 has 32 divisors (see below), whose sum is σ = 644744448. Its totient is φ = 490659840.

The previous prime is 564099983. The next prime is 564100007. The reversal of 564100001 is 100001465.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 564100001 - 2²⁶ = 496991137 is a prime.

It is a super-2 number, since 2×564100001² = 636417622256400002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (564100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1597841 + ... + 1598193.

It is an arithmetic number, because the mean of its divisors is an integer number (20148264).

Almost surely, 2^564100001 is an apocalyptic number.

It is an amenable number.

564100001 is a deficient number, since it is larger than the sum of its proper divisors (80644447).

564100001 is a wasteful number, since it uses less digits than its factorization.

564100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 564100001 is about 23750.7894816151. The cubic root of 564100001 is about 826.2637508383.

Adding to 564100001 its reverse (100001465), we get a palindrome (664101466).

The spelling of 564100001 in words is "five hundred sixty-four million, one hundred thousand, one".