564509 has 16 divisors (see below), whose sum is σ = 674880. Its totient is φ = 466560.

The previous prime is 564497. The next prime is 564523. The reversal of 564509 is 905465.

564509 = 58² + 59² + ... + 123².

564509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 564509 - 2¹⁶ = 498973 is a prime.

It is a super-2 number, since 2×564509² = 637340822162, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7697 + ... + 7769.

It is an arithmetic number, because the mean of its divisors is an integer number (42180).

2⁵⁶⁴⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

564509 is a deficient number, since it is larger than the sum of its proper divisors (110371).

564509 is a wasteful number, since it uses less digits than its factorization.

564509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 564509 is about 751.3381395883. The cubic root of 564509 is about 82.6463395940.

The spelling of 564509 in words is "five hundred sixty-four thousand, five hundred nine".