505965807 has 12 divisors (see below), whose sum is σ = 731618784. Its totient is φ = 336950880.

The previous prime is 505965793. The next prime is 505965827. The reversal of 505965807 is 708569505.

505965807 is a `hidden beast` number, since 5 + 0 + 596 + 58 + 0 + 7 = 666.

It is not a de Polignac number, because 505965807 - 2¹² = 505961711 is a prime.

It is a super-2 number, since 2×505965807² = 512002795706322498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505965827) 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, 20919 + ... + 38072.

It is an arithmetic number, because the mean of its divisors is an integer number (60968232).

Almost surely, 2^505965807 is an apocalyptic number.

505965807 is a deficient number, since it is larger than the sum of its proper divisors (225652977).

505965807 is a wasteful number, since it uses less digits than its factorization.

505965807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59950 (or 59947 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 505965807 is about 22493.6837134339. The cubic root of 505965807 is about 796.8447631064.

The spelling of 505965807 in words is "five hundred five million, nine hundred sixty-five thousand, eight hundred seven".