565508512009 has 45 divisors (see below), whose sum is σ = 670688982663. Its totient is φ = 476793966096.

The previous prime is 565508511907. The next prime is 565508512021. The reversal of 565508512009 is 900215805565.

The square root of 565508512009 is 752003.

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

It can be written as a sum of positive squares in only one way, i.e., 66253215609 + 499255296400 = 257397^2 + 706580^2 .

It is not a de Polignac number, because 565508512009 - 2⁹ = 565508511497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 565508512009.

It is not an unprimeable number, because it can be changed into a prime (565508512409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3795359067 + ... + 3795359215.

Almost surely, 2^565508512009 is an apocalyptic number.

565508512009 is the 752003-rd square number.

565508512009 is the 376002-nd centered octagonal number.

It is an amenable number.

565508512009 is a deficient number, since it is larger than the sum of its proper divisors (105180470654).

565508512009 is an frugal number, since it uses more digits than its factorization.

565508512009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 46.

The spelling of 565508512009 in words is "five hundred sixty-five billion, five hundred eight million, five hundred twelve thousand, nine".