504154034211137 has 2 divisors, whose sum is σ = 504154034211138. Its totient is φ = 504154034211136.

The previous prime is 504154034211127. The next prime is 504154034211173. The reversal of 504154034211137 is 731112430451405.

Together with next prime (504154034211173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 386422181325376 + 117731852885761 = 19657624^2 + 10850431^2 .

It is a cyclic number.

It is not a de Polignac number, because 504154034211137 - 2²⁰ = 504154033162561 is a prime.

It is a super-2 number, since 2×504154034211137² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 504154034211094 and 504154034211103.

It is not a weakly prime, because it can be changed into another prime (504154034211127) 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 as a sum of consecutive naturals, namely, 252077017105568 + 252077017105569.

It is an arithmetic number, because the mean of its divisors is an integer number (252077017105569).

Almost surely, 2^{504154034211137} is an apocalyptic number.

It is an amenable number.

504154034211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

504154034211137 is an equidigital number, since it uses as much as digits as its factorization.

504154034211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 504154034211137 in words is "five hundred four trillion, one hundred fifty-four billion, thirty-four million, two hundred eleven thousand, one hundred thirty-seven".