505664727 has 16 divisors (see below), whose sum is σ = 714480000. Its totient is φ = 317218464.

The previous prime is 505664713. The next prime is 505664743. The reversal of 505664727 is 727466505.

It is not a de Polignac number, because 505664727 - 2¹⁴ = 505648343 is a prime.

It is a super-2 number, since 2×505664727² = 511393632263969058, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505664707) 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 15 ways as a sum of consecutive naturals, for example, 21277 + ... + 38262.

It is an arithmetic number, because the mean of its divisors is an integer number (44655000).

Almost surely, 2^505664727 is an apocalyptic number.

505664727 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

505664727 is a deficient number, since it is larger than the sum of its proper divisors (208815273).

505664727 is a wasteful number, since it uses less digits than its factorization.

505664727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59710.

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 505664727 is about 22486.9901720973. The cubic root of 505664727 is about 796.6866749370.

The spelling of 505664727 in words is "five hundred five million, six hundred sixty-four thousand, seven hundred twenty-seven".