65849352636013 has 2 divisors, whose sum is σ = 65849352636014. Its totient is φ = 65849352636012.

The previous prime is 65849352635933. The next prime is 65849352636031. The reversal of 65849352636013 is 31063625394856.

Together with next prime (65849352636031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63736623524484 + 2112729111529 = 7983522^2 + 1453523^2 .

It is a cyclic number.

It is not a de Polignac number, because 65849352636013 - 2¹⁷ = 65849352504941 is a prime.

It is a super-2 number, since 2×65849352636013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65849352630013) 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, 32924676318006 + 32924676318007.

It is an arithmetic number, because the mean of its divisors is an integer number (32924676318007).

Almost surely, 2^{65849352636013} is an apocalyptic number.

It is an amenable number.

65849352636013 is a deficient number, since it is larger than the sum of its proper divisors (1).

65849352636013 is an equidigital number, since it uses as much as digits as its factorization.

65849352636013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 83980800, while the sum is 61.

The spelling of 65849352636013 in words is "sixty-five trillion, eight hundred forty-nine billion, three hundred fifty-two million, six hundred thirty-six thousand, thirteen".