65233634362097 has 2 divisors, whose sum is σ = 65233634362098. Its totient is φ = 65233634362096.

The previous prime is 65233634362037. The next prime is 65233634362201. The reversal of 65233634362097 is 79026343633256.

65233634362097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59331217560976 + 5902416801121 = 7702676^2 + 2429489^2 .

It is a cyclic number.

It is not a de Polignac number, because 65233634362097 - 2⁶ = 65233634362033 is a prime.

It is a super-2 number, since 2×65233634362097² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (65233634362037) 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, 32616817181048 + 32616817181049.

It is an arithmetic number, because the mean of its divisors is an integer number (32616817181049).

Almost surely, 2^{65233634362097} is an apocalyptic number.

It is an amenable number.

65233634362097 is a deficient number, since it is larger than the sum of its proper divisors (1).

65233634362097 is an equidigital number, since it uses as much as digits as its factorization.

65233634362097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88179840, while the sum is 59.

The spelling of 65233634362097 in words is "sixty-five trillion, two hundred thirty-three billion, six hundred thirty-four million, three hundred sixty-two thousand, ninety-seven".