65340013 has 2 divisors, whose sum is σ = 65340014. Its totient is φ = 65340012.

The previous prime is 65340001. The next prime is 65340029. The reversal of 65340013 is 31004356.

65340013 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., 37429924 + 27910089 = 6118^2 + 5283^2 .

It is a cyclic number.

It is not a de Polignac number, because 65340013 - 2⁹ = 65339501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65340053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32670006 + 32670007.

It is an arithmetic number, because the mean of its divisors is an integer number (32670007).

Almost surely, 2^65340013 is an apocalyptic number.

It is an amenable number.

65340013 is a deficient number, since it is larger than the sum of its proper divisors (1).

65340013 is an equidigital number, since it uses as much as digits as its factorization.

65340013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 65340013 is about 8083.3169553099. The cubic root of 65340013 is about 402.7724333870.

Adding to 65340013 its reverse (31004356), we get a palindrome (96344369).

The spelling of 65340013 in words is "sixty-five million, three hundred forty thousand, thirteen".