504116120013 has 64 divisors (see below), whose sum is σ = 765197328384. Its totient is φ = 292439520000.

The previous prime is 504116119999. The next prime is 504116120033. The reversal of 504116120013 is 310021611405.

It is a happy number.

It is not a de Polignac number, because 504116120013 - 2²⁶ = 504049011149 is a prime.

It is a super-2 number, since 2×504116120013² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504116120033) 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 63 ways as a sum of consecutive naturals, for example, 135041295 + ... + 135045027.

It is an arithmetic number, because the mean of its divisors is an integer number (11956208256).

Almost surely, 2^504116120013 is an apocalyptic number.

It is an amenable number.

504116120013 is a deficient number, since it is larger than the sum of its proper divisors (261081208371).

504116120013 is a wasteful number, since it uses less digits than its factorization.

504116120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 504116120013 its reverse (310021611405), we get a palindrome (814137731418).

The spelling of 504116120013 in words is "five hundred four billion, one hundred sixteen million, one hundred twenty thousand, thirteen".