51682052017 has 2 divisors, whose sum is σ = 51682052018. Its totient is φ = 51682052016.

The previous prime is 51682052003. The next prime is 51682052027. The reversal of 51682052017 is 71025028615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26153681841 + 25528370176 = 161721^2 + 159776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51682052017 is a prime.

It is not a weakly prime, because it can be changed into another prime (51682052027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25841026008 + 25841026009.

It is an arithmetic number, because the mean of its divisors is an integer number (25841026009).

Almost surely, 2^51682052017 is an apocalyptic number.

It is an amenable number.

51682052017 is a deficient number, since it is larger than the sum of its proper divisors (1).

51682052017 is an equidigital number, since it uses as much as digits as its factorization.

51682052017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 37.

The spelling of 51682052017 in words is "fifty-one billion, six hundred eighty-two million, fifty-two thousand, seventeen".