506567765605 has 16 divisors (see below), whose sum is σ = 665608492800. Its totient is φ = 367043344960.

The previous prime is 506567765591. The next prime is 506567765611.

506567765605 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-506567765605 is a prime.

It is a super-2 number, since 2×506567765605² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506567765605.

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, 17104765 + ... + 17134354.

It is an arithmetic number, because the mean of its divisors is an integer number (41600530800).

Almost surely, 2^506567765605 is an apocalyptic number.

506567765605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506567765605 is a deficient number, since it is larger than the sum of its proper divisors (159040727195).

506567765605 is a wasteful number, since it uses less digits than its factorization.

506567765605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34239404.

The product of its (nonzero) digits is 39690000, while the sum is 58.

The spelling of 506567765605 in words is "five hundred six billion, five hundred sixty-seven million, seven hundred sixty-five thousand, six hundred five".