10746753261217 has 2 divisors, whose sum is σ = 10746753261218. Its totient is φ = 10746753261216.

The previous prime is 10746753261161. The next prime is 10746753261341. The reversal of 10746753261217 is 71216235764701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6168711048721 + 4578042212496 = 2483689^2 + 2139636^2 .

It is an emirp because it is prime and its reverse (71216235764701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10746753261217 - 2⁷ = 10746753261089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10746753261017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5373376630608 + 5373376630609.

It is an arithmetic number, because the mean of its divisors is an integer number (5373376630609).

Almost surely, 2^{10746753261217} is an apocalyptic number.

It is an amenable number.

10746753261217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10746753261217 is an equidigital number, since it uses as much as digits as its factorization.

10746753261217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 10746753261217 in words is "ten trillion, seven hundred forty-six billion, seven hundred fifty-three million, two hundred sixty-one thousand, two hundred seventeen".