565505504001 has 81 divisors (see below), whose sum is σ = 878406115041. Its totient is φ = 350528722128.

The previous prime is 565505503987. The next prime is 565505504089. The reversal of 565505504001 is 100405505565.

The square root of 565505504001 is 752001.

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

565505504001 is a `hidden beast` number, since 5 + 65 + 5 + 0 + 550 + 40 + 0 + 1 = 666.

It is not a de Polignac number, because 565505504001 - 2⁷ = 565505503873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (565505504401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3386260420 + ... + 3386260586.

Almost surely, 2^565505504001 is an apocalyptic number.

565505504001 is the 752001-st square number.

565505504001 is the 376001-st centered octagonal number.

It is an amenable number.

565505504001 is a deficient number, since it is larger than the sum of its proper divisors (312900611040).

565505504001 is an equidigital number, since it uses as much as digits as its factorization.

565505504001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

Multiplying 565505504001 by its sum of digits (36), we get a square (20358198144036 = 4512006²).

The spelling of 565505504001 in words is "five hundred sixty-five billion, five hundred five million, five hundred four thousand, one".