52125167604317 has 2 divisors, whose sum is σ = 52125167604318. Its totient is φ = 52125167604316.

The previous prime is 52125167604229. The next prime is 52125167604319. The reversal of 52125167604317 is 71340676152125.

52125167604317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51581282004121 + 543885600196 = 7182011^2 + 737486^2 .

It is a cyclic number.

It is not a de Polignac number, because 52125167604317 - 2²⁰ = 52125166555741 is a prime.

Together with 52125167604319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52125167604319) 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 as a sum of consecutive naturals, namely, 26062583802158 + 26062583802159.

It is an arithmetic number, because the mean of its divisors is an integer number (26062583802159).

Almost surely, 2^{52125167604317} is an apocalyptic number.

It is an amenable number.

52125167604317 is a deficient number, since it is larger than the sum of its proper divisors (1).

52125167604317 is an equidigital number, since it uses as much as digits as its factorization.

52125167604317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 50.

The spelling of 52125167604317 in words is "fifty-two trillion, one hundred twenty-five billion, one hundred sixty-seven million, six hundred four thousand, three hundred seventeen".