505305333 has 12 divisors (see below), whose sum is σ = 786030700. Its totient is φ = 310957056.

The previous prime is 505305329. The next prime is 505305347. The reversal of 505305333 is 333503505.

505305333 is a `hidden beast` number, since 50 + 530 + 53 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171950769 + 333354564 = 13113^2 + 18258^2 .

It is not a de Polignac number, because 505305333 - 2² = 505305329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505305297 and 505305306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505305373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2159308 + ... + 2159541.

Almost surely, 2^505305333 is an apocalyptic number.

It is an amenable number.

505305333 is a deficient number, since it is larger than the sum of its proper divisors (280725367).

505305333 is a wasteful number, since it uses less digits than its factorization.

505305333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318868 (or 4318865 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 27.

The square root of 505305333 is about 22478.9975977578. The cubic root of 505305333 is about 796.4978856358.

Adding to 505305333 its reverse (333503505), we get a palindrome (838808838).

The spelling of 505305333 in words is "five hundred five million, three hundred five thousand, three hundred thirty-three".