505461663 has 48 divisors (see below), whose sum is σ = 886070016. Its totient is φ = 271054080.

The previous prime is 505461659. The next prime is 505461707. The reversal of 505461663 is 366164505.

505461663 is a `hidden beast` number, since 50 + 546 + 1 + 6 + 63 = 666.

It is not a de Polignac number, because 505461663 - 2² = 505461659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505461613) 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 47 ways as a sum of consecutive naturals, for example, 731148 + ... + 731838.

It is an arithmetic number, because the mean of its divisors is an integer number (18459792).

Almost surely, 2^505461663 is an apocalyptic number.

505461663 is a deficient number, since it is larger than the sum of its proper divisors (380608353).

505461663 is a wasteful number, since it uses less digits than its factorization.

505461663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 505461663 is about 22482.4745746548. The cubic root of 505461663 is about 796.5800166219.

The spelling of 505461663 in words is "five hundred five million, four hundred sixty-one thousand, six hundred sixty-three".