9723509966081 has 2 divisors, whose sum is σ = 9723509966082. Its totient is φ = 9723509966080.

The previous prime is 9723509966039. The next prime is 9723509966083. The reversal of 9723509966081 is 1806699053279.

9723509966081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9712291767025 + 11218199056 = 3116455^2 + 105916^2 .

It is a cyclic number.

It is not a de Polignac number, because 9723509966081 - 2⁴² = 5325463454977 is a prime.

It is a super-2 number, since 2×9723509966081² (a number of 27 digits) contains 22 as substring.

Together with 9723509966083, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 9723509965999 and 9723509966017.

It is not a weakly prime, because it can be changed into another prime (9723509966083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4861754983040 + 4861754983041.

It is an arithmetic number, because the mean of its divisors is an integer number (4861754983041).

Almost surely, 2^{9723509966081} is an apocalyptic number.

It is an amenable number.

9723509966081 is a deficient number, since it is larger than the sum of its proper divisors (1).

9723509966081 is an equidigital number, since it uses as much as digits as its factorization.

9723509966081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 44089920, while the sum is 65.

The spelling of 9723509966081 in words is "nine trillion, seven hundred twenty-three billion, five hundred nine million, nine hundred sixty-six thousand, eighty-one".