504434131113137 has 2 divisors, whose sum is σ = 504434131113138. Its totient is φ = 504434131113136.

The previous prime is 504434131113109. The next prime is 504434131113191. The reversal of 504434131113137 is 731311131434405.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 451262967188401 + 53171163924736 = 21242951^2 + 7291856^2 .

It is a cyclic number.

It is not a de Polignac number, because 504434131113137 - 2²⁸ = 504433862677681 is a prime.

It is a super-3 number, since 3×504434131113137³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 504434131113094 and 504434131113103.

It is not a weakly prime, because it can be changed into another prime (504434131112137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252217065556568 + 252217065556569.

It is an arithmetic number, because the mean of its divisors is an integer number (252217065556569).

Almost surely, 2^{504434131113137} is an apocalyptic number.

It is an amenable number.

504434131113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

504434131113137 is an equidigital number, since it uses as much as digits as its factorization.

504434131113137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 504434131113137 in words is "five hundred four trillion, four hundred thirty-four billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred thirty-seven".