9697681616081 has 2 divisors, whose sum is σ = 9697681616082. Its totient is φ = 9697681616080.

The previous prime is 9697681615931. The next prime is 9697681616093. The reversal of 9697681616081 is 1806161867969.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8553776499856 + 1143905116225 = 2924684^2 + 1069535^2 .

It is an emirp because it is prime and its reverse (1806161867969) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9697681616081 - 2³⁴ = 9680501746897 is a prime.

It is a super-2 number, since 2×9697681616081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9697681616681) 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, 4848840808040 + 4848840808041.

It is an arithmetic number, because the mean of its divisors is an integer number (4848840808041).

Almost surely, 2^{9697681616081} is an apocalyptic number.

It is an amenable number.

9697681616081 is a deficient number, since it is larger than the sum of its proper divisors (1).

9697681616081 is an equidigital number, since it uses as much as digits as its factorization.

9697681616081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47029248, while the sum is 68.

The spelling of 9697681616081 in words is "nine trillion, six hundred ninety-seven billion, six hundred eighty-one million, six hundred sixteen thousand, eighty-one".