506565545565605 has 64 divisors (see below), whose sum is σ = 676152359129088. Its totient is φ = 362369638118400.

The previous prime is 506565545565581. The next prime is 506565545565619.

506565545565605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506565545565605 - 2³⁴ = 506548365696421 is a prime.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2468696822 + ... + 2468902008.

It is an arithmetic number, because the mean of its divisors is an integer number (10564880611392).

Almost surely, 2^{506565545565605} is an apocalyptic number.

It is an amenable number.

506565545565605 is a deficient number, since it is larger than the sum of its proper divisors (169586813563483).

506565545565605 is a wasteful number, since it uses less digits than its factorization.

506565545565605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213746.

The product of its (nonzero) digits is 2025000000, while the sum is 68.

The spelling of 506565545565605 in words is "five hundred six trillion, five hundred sixty-five billion, five hundred forty-five million, five hundred sixty-five thousand, six hundred five".