1017838032817 has 2 divisors, whose sum is σ = 1017838032818. Its totient is φ = 1017838032816.

The previous prime is 1017838032791. The next prime is 1017838032859. The reversal of 1017838032817 is 7182308387101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 515087548416 + 502750484401 = 717696^2 + 709049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1017838032817 is a prime.

It is a super-2 number, since 2×1017838032817² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1017838038817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508919016408 + 508919016409.

It is an arithmetic number, because the mean of its divisors is an integer number (508919016409).

Almost surely, 2^{1017838032817} is an apocalyptic number.

It is an amenable number.

1017838032817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017838032817 is an equidigital number, since it uses as much as digits as its factorization.

1017838032817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 451584, while the sum is 49.

The spelling of 1017838032817 in words is "one trillion, seventeen billion, eight hundred thirty-eight million, thirty-two thousand, eight hundred seventeen".