564965361 has 45 divisors (see below), whose sum is σ = 897171561. Its totient is φ = 354253176.

The previous prime is 564965351. The next prime is 564965381. The reversal of 564965361 is 163569465.

The square root of 564965361 is 23769.

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

564965361 is a `hidden beast` number, since 56 + 496 + 53 + 61 = 666.

It is not a de Polignac number, because 564965361 - 2¹⁷ = 564834289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564965311) 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 44 ways as a sum of consecutive naturals, for example, 4064430 + ... + 4064568.

Almost surely, 2^564965361 is an apocalyptic number.

564965361 is the 23769-th square number.

564965361 is the 11885-th centered octagonal number.

It is an amenable number.

564965361 is a deficient number, since it is larger than the sum of its proper divisors (332206200).

564965361 is an equidigital number, since it uses as much as digits as its factorization.

564965361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 161 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The cubic root of 564965361 is about 826.6860461082.

The spelling of 564965361 in words is "five hundred sixty-four million, nine hundred sixty-five thousand, three hundred sixty-one".