504444421505313 has 80 divisors (see below), whose sum is σ = 763245289606800. Its totient is φ = 332000428838400.

The previous prime is 504444421505263. The next prime is 504444421505419. The reversal of 504444421505313 is 313505124444405.

504444421505313 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 4 + 44 + 21 + 50 + 531 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 471656234651904 + 32788186853409 = 21717648^2 + 5726097^2 .

It is not a de Polignac number, because 504444421505313 - 2¹² = 504444421501217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (504444421505113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3803129031 + ... + 3803261667.

It is an arithmetic number, because the mean of its divisors is an integer number (9540566120085).

Almost surely, 2^{504444421505313} is an apocalyptic number.

It is an amenable number.

504444421505313 is a deficient number, since it is larger than the sum of its proper divisors (258800868101487).

504444421505313 is a wasteful number, since it uses less digits than its factorization.

504444421505313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134720 (or 134711 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 504444421505313 its reverse (313505124444405), we get a palindrome (817949545949718).

The spelling of 504444421505313 in words is "five hundred four trillion, four hundred forty-four billion, four hundred twenty-one million, five hundred five thousand, three hundred thirteen".