65608513 has 2 divisors, whose sum is σ = 65608514. Its totient is φ = 65608512.

The previous prime is 65608507. The next prime is 65608519. The reversal of 65608513 is 31580656.

65608513 = 5727² + 5728².

65608513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (65608507) and next prime (65608519).

It can be written as a sum of positive squares in only one way, i.e., 32809984 + 32798529 = 5728^2 + 5727^2 .

It is a cyclic number.

It is not a de Polignac number, because 65608513 - 2¹³ = 65600321 is a prime.

It is not a weakly prime, because it can be changed into another prime (65608519) 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, 32804256 + 32804257.

It is an arithmetic number, because the mean of its divisors is an integer number (32804257).

Almost surely, 2^65608513 is an apocalyptic number.

65608513 is the 5728-th centered square number.

It is an amenable number.

65608513 is a deficient number, since it is larger than the sum of its proper divisors (1).

65608513 is an equidigital number, since it uses as much as digits as its factorization.

65608513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 65608513 is about 8099.9082093564. The cubic root of 65608513 is about 403.3233801398.

The spelling of 65608513 in words is "sixty-five million, six hundred eight thousand, five hundred thirteen".