506561565 has 32 divisors (see below), whose sum is σ = 855705600. Its totient is φ = 255182400.

The previous prime is 506561537. The next prime is 506561579. The reversal of 506561565 is 565165605.

It is not a de Polignac number, because 506561565 - 2⁶ = 506561501 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99840 + ... + 104790.

It is an arithmetic number, because the mean of its divisors is an integer number (26740800).

Almost surely, 2^506561565 is an apocalyptic number.

It is an amenable number.

506561565 is a deficient number, since it is larger than the sum of its proper divisors (349144035).

506561565 is a wasteful number, since it uses less digits than its factorization.

506561565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337.

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 506561565 is about 22506.9226017241. The cubic root of 506561565 is about 797.1573932174.

The spelling of 506561565 in words is "five hundred six million, five hundred sixty-one thousand, five hundred sixty-five".