65835956409161 has 2 divisors, whose sum is σ = 65835956409162. Its totient is φ = 65835956409160.

The previous prime is 65835956409149. The next prime is 65835956409163. The reversal of 65835956409161 is 16190465953856.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64144801812025 + 1691154597136 = 8009045^2 + 1300444^2 .

It is a cyclic number.

It is not a de Polignac number, because 65835956409161 - 2²⁶ = 65835889300297 is a prime.

Together with 65835956409163, 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 = 65835956409091 and 65835956409100.

It is not a weakly prime, because it can be changed into another prime (65835956409163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32917978204580 + 32917978204581.

It is an arithmetic number, because the mean of its divisors is an integer number (32917978204581).

Almost surely, 2^{65835956409161} is an apocalyptic number.

It is an amenable number.

65835956409161 is a deficient number, since it is larger than the sum of its proper divisors (1).

65835956409161 is an equidigital number, since it uses as much as digits as its factorization.

65835956409161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 209952000, while the sum is 68.

The spelling of 65835956409161 in words is "sixty-five trillion, eight hundred thirty-five billion, nine hundred fifty-six million, four hundred nine thousand, one hundred sixty-one".