506823727348223 has 32 divisors (see below), whose sum is σ = 542289061944000. Its totient is φ = 472747616538624.

The previous prime is 506823727348219. The next prime is 506823727348229. The reversal of 506823727348223 is 322843727328605.

It is not a de Polignac number, because 506823727348223 - 2² = 506823727348219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506823727348229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424196636 + ... + 425389742.

It is an arithmetic number, because the mean of its divisors is an integer number (16946533185750).

Almost surely, 2^{506823727348223} is an apocalyptic number.

506823727348223 is a deficient number, since it is larger than the sum of its proper divisors (35465334595777).

506823727348223 is a wasteful number, since it uses less digits than its factorization.

506823727348223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195979.

The product of its (nonzero) digits is 162570240, while the sum is 62.

The spelling of 506823727348223 in words is "five hundred six trillion, eight hundred twenty-three billion, seven hundred twenty-seven million, three hundred forty-eight thousand, two hundred twenty-three".