506756657605 has 32 divisors (see below), whose sum is σ = 689325613056. Its totient is φ = 354299400000.

The previous prime is 506756657599. The next prime is 506756657647.

506756657605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506756657605 - 2⁵ = 506756657573 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506756657605.

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 31 ways as a sum of consecutive naturals, for example, 726711 + ... + 1241620.

It is an arithmetic number, because the mean of its divisors is an integer number (21541425408).

Almost surely, 2^506756657605 is an apocalyptic number.

506756657605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506756657605 is a deficient number, since it is larger than the sum of its proper divisors (182568955451).

506756657605 is a wasteful number, since it uses less digits than its factorization.

506756657605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968529.

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

The spelling of 506756657605 in words is "five hundred six billion, seven hundred fifty-six million, six hundred fifty-seven thousand, six hundred five".