1017056105171 has 2 divisors, whose sum is σ = 1017056105172. Its totient is φ = 1017056105170.

The previous prime is 1017056105159. The next prime is 1017056105179. The reversal of 1017056105171 is 1715016507101.

1017056105171 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1017056105171 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (1017056105179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508528052585 + 508528052586.

It is an arithmetic number, because the mean of its divisors is an integer number (508528052586).

Almost surely, 2^{1017056105171} is an apocalyptic number.

1017056105171 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017056105171 is an equidigital number, since it uses as much as digits as its factorization.

1017056105171 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7350, while the sum is 35.

The spelling of 1017056105171 in words is "one trillion, seventeen billion, fifty-six million, one hundred five thousand, one hundred seventy-one".