51566011435217 has 2 divisors, whose sum is σ = 51566011435218. Its totient is φ = 51566011435216.

The previous prime is 51566011435193. The next prime is 51566011435249. The reversal of 51566011435217 is 71253411066515.

51566011435217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45283088191441 + 6282923243776 = 6729271^2 + 2506576^2 .

It is a cyclic number.

It is not a de Polignac number, because 51566011435217 - 2⁸ = 51566011434961 is a prime.

It is not a weakly prime, because it can be changed into another prime (51566011435277) 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, 25783005717608 + 25783005717609.

It is an arithmetic number, because the mean of its divisors is an integer number (25783005717609).

Almost surely, 2^{51566011435217} is an apocalyptic number.

It is an amenable number.

51566011435217 is a deficient number, since it is larger than the sum of its proper divisors (1).

51566011435217 is an equidigital number, since it uses as much as digits as its factorization.

51566011435217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 47.

The spelling of 51566011435217 in words is "fifty-one trillion, five hundred sixty-six billion, eleven million, four hundred thirty-five thousand, two hundred seventeen".