10745721617 has 2 divisors, whose sum is σ = 10745721618. Its totient is φ = 10745721616.

The previous prime is 10745721593. The next prime is 10745721619. The reversal of 10745721617 is 71612754701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7073482816 + 3672238801 = 84104^2 + 60599^2 .

It is a cyclic number.

It is not a de Polignac number, because 10745721617 - 2²⁸ = 10477286161 is a prime.

It is a super-2 number, since 2×10745721617² (a number of 21 digits) contains 22 as substring.

Together with 10745721619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10745721619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5372860808 + 5372860809.

It is an arithmetic number, because the mean of its divisors is an integer number (5372860809).

Almost surely, 2^10745721617 is an apocalyptic number.

It is an amenable number.

10745721617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10745721617 is an equidigital number, since it uses as much as digits as its factorization.

10745721617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82320, while the sum is 41.

The spelling of 10745721617 in words is "ten billion, seven hundred forty-five million, seven hundred twenty-one thousand, six hundred seventeen".