65105413 has 2 divisors, whose sum is σ = 65105414. Its totient is φ = 65105412.

The previous prime is 65105389. The next prime is 65105423. The reversal of 65105413 is 31450156.

65105413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64673764 + 431649 = 8042^2 + 657^2 .

It is a cyclic number.

It is not a de Polignac number, because 65105413 - 2⁹ = 65104901 is a prime.

It is a super-3 number, since 3×65105413³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65105423) 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, 32552706 + 32552707.

It is an arithmetic number, because the mean of its divisors is an integer number (32552707).

Almost surely, 2^65105413 is an apocalyptic number.

It is an amenable number.

65105413 is a deficient number, since it is larger than the sum of its proper divisors (1).

65105413 is an equidigital number, since it uses as much as digits as its factorization.

65105413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 65105413 is about 8068.7925366811. The cubic root of 65105413 is about 402.2898106554.

Adding to 65105413 its reverse (31450156), we get a palindrome (96555569).

The spelling of 65105413 in words is "sixty-five million, one hundred five thousand, four hundred thirteen".