504135052204041 has 24 divisors (see below), whose sum is σ = 735018252920640. Its totient is φ = 332941026515616.

The previous prime is 504135052204033. The next prime is 504135052204081. The reversal of 504135052204041 is 140402250531405.

504135052204041 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 3 + 50 + 522 + 0 + 40 + 41 = 666.

It is not a de Polignac number, because 504135052204041 - 2³ = 504135052204033 is a prime.

It is a super-2 number, since 2×504135052204041² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 504135052203987 and 504135052204005.

It is not an unprimeable number, because it can be changed into a prime (504135052204081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34061475 + ... + 46566663.

It is an arithmetic number, because the mean of its divisors is an integer number (30625760538360).

Almost surely, 2^{504135052204041} is an apocalyptic number.

It is an amenable number.

504135052204041 is a deficient number, since it is larger than the sum of its proper divisors (230883200716599).

504135052204041 is a wasteful number, since it uses less digits than its factorization.

504135052204041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547165 (or 12547162 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 504135052204041 in words is "five hundred four trillion, one hundred thirty-five billion, fifty-two million, two hundred four thousand, forty-one".