506008786806 has 32 divisors (see below), whose sum is σ = 1124554014720. Its totient is φ = 168656089032.

The previous prime is 506008786783. The next prime is 506008786813. The reversal of 506008786806 is 608687800605.

506008786806 is a `hidden beast` number, since 506 + 0 + 0 + 8 + 78 + 68 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317131 + ... + 1054793.

It is an arithmetic number, because the mean of its divisors is an integer number (35142312960).

Almost surely, 2^506008786806 is an apocalyptic number.

506008786806 is an abundant number, since it is smaller than the sum of its proper divisors (618545227914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506008786806 is a wasteful number, since it uses less digits than its factorization.

506008786806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750377 (or 750371 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 506008786806 in words is "five hundred six billion, eight million, seven hundred eighty-six thousand, eight hundred six".