564013 has 2 divisors, whose sum is σ = 564014. Its totient is φ = 564012.

The previous prime is 563999. The next prime is 564017. The reversal of 564013 is 310465.

564013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 459684 + 104329 = 678^2 + 323^2 .

It is a cyclic number.

It is not a de Polignac number, because 564013 - 2⁹ = 563501 is a prime.

It is a super-2 number, since 2×564013² = 636221328338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (564017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282006 + 282007.

It is an arithmetic number, because the mean of its divisors is an integer number (282007).

2⁵⁶⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

564013 is a deficient number, since it is larger than the sum of its proper divisors (1).

564013 is an equidigital number, since it uses as much as digits as its factorization.

564013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 564013 is about 751.0079893050. The cubic root of 564013 is about 82.6221270505.

Adding to 564013 its reverse (310465), we get a palindrome (874478).

The spelling of 564013 in words is "five hundred sixty-four thousand, thirteen".