1017315772717 has 2 divisors, whose sum is σ = 1017315772718. Its totient is φ = 1017315772716.

The previous prime is 1017315772703. The next prime is 1017315772729. The reversal of 1017315772717 is 7172775137101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 510408796041 + 506906976676 = 714429^2 + 711974^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1017315772717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017315772747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508657886358 + 508657886359.

It is an arithmetic number, because the mean of its divisors is an integer number (508657886359).

Almost surely, 2^{1017315772717} is an apocalyptic number.

It is an amenable number.

1017315772717 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017315772717 is an equidigital number, since it uses as much as digits as its factorization.

1017315772717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504210, while the sum is 49.

The spelling of 1017315772717 in words is "one trillion, seventeen billion, three hundred fifteen million, seven hundred seventy-two thousand, seven hundred seventeen".