505904971 has 16 divisors (see below), whose sum is σ = 614849760. Its totient is φ = 409893120.

The previous prime is 505904939. The next prime is 505904977. The reversal of 505904971 is 179409505.

It is not a de Polignac number, because 505904971 - 2⁵ = 505904939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505904977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56850 + ... + 65143.

It is an arithmetic number, because the mean of its divisors is an integer number (38428110).

Almost surely, 2^505904971 is an apocalyptic number.

505904971 is a deficient number, since it is larger than the sum of its proper divisors (108944789).

505904971 is a wasteful number, since it uses less digits than its factorization.

505904971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122046.

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 505904971 is about 22492.3313820511. The cubic root of 505904971 is about 796.8128249857.

The spelling of 505904971 in words is "five hundred five million, nine hundred four thousand, nine hundred seventy-one".