506205323 has 8 divisors (see below), whose sum is σ = 545359248. Its totient is φ = 467082144.

The previous prime is 506205281. The next prime is 506205347. The reversal of 506205323 is 323502605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506205323 - 2²⁰ = 505156747 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506205292 and 506205301.

It is not an unprimeable number, because it can be changed into a prime (506205373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35561 + ... + 47717.

It is an arithmetic number, because the mean of its divisors is an integer number (68169906).

Almost surely, 2^506205323 is an apocalyptic number.

506205323 is a deficient number, since it is larger than the sum of its proper divisors (39153925).

506205323 is a wasteful number, since it uses less digits than its factorization.

506205323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15373.

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 506205323 is about 22499.0071558725. The cubic root of 506205323 is about 796.9704810630.

Adding to 506205323 its reverse (323502605), we get a palindrome (829707928).

The spelling of 506205323 in words is "five hundred six million, two hundred five thousand, three hundred twenty-three".