506205333 has 6 divisors (see below), whose sum is σ = 731185494. Its totient is φ = 337470216.

The previous prime is 506205281. The next prime is 506205347. The reversal of 506205333 is 333502605.

506205333 is a `hidden beast` number, since 5 + 0 + 620 + 5 + 3 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 326055249 + 180150084 = 18057^2 + 13422^2 .

It is not a de Polignac number, because 506205333 - 2¹² = 506201237 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 506205297 and 506205306.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 28122510 + ... + 28122527.

It is an arithmetic number, because the mean of its divisors is an integer number (121864249).

Almost surely, 2^506205333 is an apocalyptic number.

It is an amenable number.

506205333 is a deficient number, since it is larger than the sum of its proper divisors (224980161).

506205333 is a wasteful number, since it uses less digits than its factorization.

506205333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56245043 (or 56245040 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 506205333 is about 22499.0073781045. The cubic root of 506205333 is about 796.9704863110.

Adding to 506205333 its reverse (333502605), we get a palindrome (839707938).

The spelling of 506205333 in words is "five hundred six million, two hundred five thousand, three hundred thirty-three".