506727888727605 has 32 divisors (see below), whose sum is σ = 824066875272960. Its totient is φ = 265820908154880.

The previous prime is 506727888727601. The next prime is 506727888727633.

506727888727605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506727888727605 - 2² = 506727888727601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506727888727601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65394709 + ... + 72731861.

It is an arithmetic number, because the mean of its divisors is an integer number (25752089852280).

Almost surely, 2^{506727888727605} is an apocalyptic number.

It is an amenable number.

506727888727605 is a deficient number, since it is larger than the sum of its proper divisors (317338986545355).

506727888727605 is a wasteful number, since it uses less digits than its factorization.

506727888727605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412701.

The product of its (nonzero) digits is 4425523200, while the sum is 78.

The spelling of 506727888727605 in words is "five hundred six trillion, seven hundred twenty-seven billion, eight hundred eighty-eight million, seven hundred twenty-seven thousand, six hundred five".