506565 has 12 divisors (see below), whose sum is σ = 878124. Its totient is φ = 270144.

The previous prime is 506563. The next prime is 506573. The reversal of 506565 is 565605.

506565 is a `hidden beast` number, since 5 + 0 + 656 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 314721 + 191844 = 561^2 + 438^2 .

It is not a de Polignac number, because 506565 - 2¹ = 506563 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

506565 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506565.

It is not an unprimeable number, because it can be changed into a prime (506563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5584 + ... + 5673.

It is an arithmetic number, because the mean of its divisors is an integer number (73177).

2⁵⁰⁶⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

506565 is a deficient number, since it is larger than the sum of its proper divisors (371559).

506565 is a wasteful number, since it uses less digits than its factorization.

506565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11268 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 506565 is about 711.7337985511. The cubic root of 506565 is about 79.7159195058.

The spelling of 506565 in words is "five hundred six thousand, five hundred sixty-five".