52400936432017 has 2 divisors, whose sum is σ = 52400936432018. Its totient is φ = 52400936432016.

The previous prime is 52400936431913. The next prime is 52400936432027. The reversal of 52400936432017 is 71023463900425.

52400936432017 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., 47627720848656 + 4773215583361 = 6901284^2 + 2184769^2 .

It is a cyclic number.

It is not a de Polignac number, because 52400936432017 - 2²⁷ = 52400802214289 is a prime.

It is not a weakly prime, because it can be changed into another prime (52400936432027) 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, 26200468216008 + 26200468216009.

It is an arithmetic number, because the mean of its divisors is an integer number (26200468216009).

Almost surely, 2^{52400936432017} is an apocalyptic number.

It is an amenable number.

52400936432017 is a deficient number, since it is larger than the sum of its proper divisors (1).

52400936432017 is an equidigital number, since it uses as much as digits as its factorization.

52400936432017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 52400936432017 in words is "fifty-two trillion, four hundred billion, nine hundred thirty-six million, four hundred thirty-two thousand, seventeen".