504873567 has 48 divisors (see below), whose sum is σ = 868533120. Its totient is φ = 289850400.

The previous prime is 504873563. The next prime is 504873569. The reversal of 504873567 is 765378405.

504873567 is a `hidden beast` number, since 5 + 0 + 4 + 87 + 3 + 567 = 666.

It is not a de Polignac number, because 504873567 - 2² = 504873563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504873563) 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, 45817 + ... + 55757.

It is an arithmetic number, because the mean of its divisors is an integer number (18094440).

Almost surely, 2^504873567 is an apocalyptic number.

504873567 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

504873567 is a deficient number, since it is larger than the sum of its proper divisors (363659553).

504873567 is a wasteful number, since it uses less digits than its factorization.

504873567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 504873567 is about 22469.3917808204. The cubic root of 504873567 is about 796.2709609887.

The spelling of 504873567 in words is "five hundred four million, eight hundred seventy-three thousand, five hundred sixty-seven".