504514020344321 has 24 divisors (see below), whose sum is σ = 547019726936760. Its totient is φ = 465098656928256.

The previous prime is 504514020344297. The next prime is 504514020344413. The reversal of 504514020344321 is 123443020415405.

It can be written as a sum of positive squares in 12 ways, for example, as 433104422167921 + 71409598176400 = 20811161^2 + 8450420^2 .

It is a de Polignac number, because none of the positive numbers 2^k-504514020344321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (504514020344821) 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 23 ways as a sum of consecutive naturals, for example, 3250468565 + ... + 3250623773.

It is an arithmetic number, because the mean of its divisors is an integer number (22792488622365).

Almost surely, 2^{504514020344321} is an apocalyptic number.

It is an amenable number.

504514020344321 is a deficient number, since it is larger than the sum of its proper divisors (42505706592439).

504514020344321 is a wasteful number, since it uses less digits than its factorization.

504514020344321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180165 (or 180152 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 504514020344321 its reverse (123443020415405), we get a palindrome (627957040759726).

The spelling of 504514020344321 in words is "five hundred four trillion, five hundred fourteen billion, twenty million, three hundred forty-four thousand, three hundred twenty-one".