504567461200313 has 48 divisors (see below), whose sum is σ = 600369090739200. Its totient is φ = 422624475423360.

The previous prime is 504567461200277. The next prime is 504567461200321. The reversal of 504567461200313 is 313002164765405.

It is not a de Polignac number, because 504567461200313 - 2¹⁰ = 504567461199289 is a prime.

It is a super-2 number, since 2×504567461200313² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (504567461200373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11307825143 + ... + 11307869763.

It is an arithmetic number, because the mean of its divisors is an integer number (12507689390400).

Almost surely, 2^{504567461200313} is an apocalyptic number.

It is an amenable number.

504567461200313 is a deficient number, since it is larger than the sum of its proper divisors (95801629538887).

504567461200313 is a wasteful number, since it uses less digits than its factorization.

504567461200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52230 (or 52223 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 504567461200313 in words is "five hundred four trillion, five hundred sixty-seven billion, four hundred sixty-one million, two hundred thousand, three hundred thirteen".