65317513 has 2 divisors, whose sum is σ = 65317514. Its totient is φ = 65317512.

The previous prime is 65317489. The next prime is 65317531. The reversal of 65317513 is 31571356.

65317513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (65317531) 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., 36929929 + 28387584 = 6077^2 + 5328^2 .

It is a cyclic number.

It is not a de Polignac number, because 65317513 - 2⁵ = 65317481 is a prime.

It is not a weakly prime, because it can be changed into another prime (65317313) 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, 32658756 + 32658757.

It is an arithmetic number, because the mean of its divisors is an integer number (32658757).

Almost surely, 2^65317513 is an apocalyptic number.

It is an amenable number.

65317513 is a deficient number, since it is larger than the sum of its proper divisors (1).

65317513 is an equidigital number, since it uses as much as digits as its factorization.

65317513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9450, while the sum is 31.

The square root of 65317513 is about 8081.9250800784. The cubic root of 65317513 is about 402.7261961746.

Adding to 65317513 its reverse (31571356), we get a palindrome (96888869).

The spelling of 65317513 in words is "sixty-five million, three hundred seventeen thousand, five hundred thirteen".