65605413413 has 2 divisors, whose sum is σ = 65605413414. Its totient is φ = 65605413412.

The previous prime is 65605413407. The next prime is 65605413431. The reversal of 65605413413 is 31431450656.

Together with next prime (65605413431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37735782049 + 27869631364 = 194257^2 + 166942^2 .

It is a cyclic number.

It is not a de Polignac number, because 65605413413 - 2¹⁶ = 65605347877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65605412413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32802706706 + 32802706707.

It is an arithmetic number, because the mean of its divisors is an integer number (32802706707).

Almost surely, 2^65605413413 is an apocalyptic number.

It is an amenable number.

65605413413 is a deficient number, since it is larger than the sum of its proper divisors (1).

65605413413 is an equidigital number, since it uses as much as digits as its factorization.

65605413413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 65605413413 in words is "sixty-five billion, six hundred five million, four hundred thirteen thousand, four hundred thirteen".