505365903 has 12 divisors (see below), whose sum is σ = 834254928. Its totient is φ = 288780480.

The previous prime is 505365899. The next prime is 505365961. The reversal of 505365903 is 309563505.

505365903 is a `hidden beast` number, since 505 + 3 + 65 + 90 + 3 = 666.

It is not a de Polignac number, because 505365903 - 2² = 505365899 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505360903) 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, 4010778 + ... + 4010903.

It is an arithmetic number, because the mean of its divisors is an integer number (69521244).

Almost surely, 2^505365903 is an apocalyptic number.

505365903 is a deficient number, since it is larger than the sum of its proper divisors (328889025).

505365903 is a wasteful number, since it uses less digits than its factorization.

505365903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021694 (or 8021691 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 505365903 is about 22480.3448149711. The cubic root of 505365903 is about 796.5297092655.

The spelling of 505365903 in words is "five hundred five million, three hundred sixty-five thousand, nine hundred three".