97753448116813 has 2 divisors, whose sum is σ = 97753448116814. Its totient is φ = 97753448116812.

The previous prime is 97753448116771. The next prime is 97753448116853. The reversal of 97753448116813 is 31861184435779.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95415035235844 + 2338412880969 = 9768062^2 + 1529187^2 .

It is a cyclic number.

It is not a de Polignac number, because 97753448116813 - 2⁴¹ = 95554424861261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97753448116853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48876724058406 + 48876724058407.

It is an arithmetic number, because the mean of its divisors is an integer number (48876724058407).

Almost surely, 2^{97753448116813} is an apocalyptic number.

It is an amenable number.

97753448116813 is a deficient number, since it is larger than the sum of its proper divisors (1).

97753448116813 is an equidigital number, since it uses as much as digits as its factorization.

97753448116813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 121927680, while the sum is 67.

The spelling of 97753448116813 in words is "ninety-seven trillion, seven hundred fifty-three billion, four hundred forty-eight million, one hundred sixteen thousand, eight hundred thirteen".