10564642807721 has 2 divisors, whose sum is σ = 10564642807722. Its totient is φ = 10564642807720.

The previous prime is 10564642807603. The next prime is 10564642807787. The reversal of 10564642807721 is 12770824646501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9591192211225 + 973450596496 = 3096965^2 + 986636^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10564642807721 is a prime.

It is a super-2 number, since 2×10564642807721² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10564642807421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5282321403860 + 5282321403861.

It is an arithmetic number, because the mean of its divisors is an integer number (5282321403861).

Almost surely, 2^{10564642807721} is an apocalyptic number.

It is an amenable number.

10564642807721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10564642807721 is an equidigital number, since it uses as much as digits as its factorization.

10564642807721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 10564642807721 in words is "ten trillion, five hundred sixty-four billion, six hundred forty-two million, eight hundred seven thousand, seven hundred twenty-one".