564011001 has 12 divisors (see below), whose sum is σ = 830054628. Its totient is φ = 368912544.

The previous prime is 564010999. The next prime is 564011027. The reversal of 564011001 is 100110465.

564011001 is a `hidden beast` number, since 564 + 0 + 1 + 100 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 317552400 + 246458601 = 17820^2 + 15699^2 .

It is not a de Polignac number, because 564011001 - 2¹ = 564010999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564011101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 590730 + ... + 591683.

It is an arithmetic number, because the mean of its divisors is an integer number (69171219).

Almost surely, 2^564011001 is an apocalyptic number.

It is an amenable number.

564011001 is a deficient number, since it is larger than the sum of its proper divisors (266043627).

564011001 is a wasteful number, since it uses less digits than its factorization.

564011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182472 (or 1182469 counting only the distinct ones).

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

The square root of 564011001 is about 23748.9157857785. The cubic root of 564011001 is about 826.2202943935.

Adding to 564011001 its reverse (100110465), we get a palindrome (664121466).

It can be divided in two parts, 5640 and 11001, that added together give a square (16641 = 129²).

The spelling of 564011001 in words is "five hundred sixty-four million, eleven thousand, one".