10205917052717 has 2 divisors, whose sum is σ = 10205917052718. Its totient is φ = 10205917052716.

The previous prime is 10205917052701. The next prime is 10205917052753. The reversal of 10205917052717 is 71725071950201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9342381753961 + 863535298756 = 3056531^2 + 929266^2 .

It is an emirp because it is prime and its reverse (71725071950201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10205917052717 - 2⁴ = 10205917052701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10205917052017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102958526358 + 5102958526359.

It is an arithmetic number, because the mean of its divisors is an integer number (5102958526359).

Almost surely, 2^{10205917052717} is an apocalyptic number.

It is an amenable number.

10205917052717 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205917052717 is an equidigital number, since it uses as much as digits as its factorization.

10205917052717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 308700, while the sum is 47.

The spelling of 10205917052717 in words is "ten trillion, two hundred five billion, nine hundred seventeen million, fifty-two thousand, seven hundred seventeen".