65519 has 2 divisors, whose sum is σ = 65520. Its totient is φ = 65518.

The previous prime is 65497. The next prime is 65521. The reversal of 65519 is 91556.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-65519 is a prime.

It is a super-2 number, since 2×65519^{2} = 8585478722, which contains 22 as substring.

Together with 65521, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65539) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32759 + 32760.

It is equal to the Eulerian number *A*(16, 1).

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2^{65519} is an apocalyptic number.

65519 is a deficient number, since it is larger than the sum of its proper divisors (1).

65519 is an equidigital number, since it uses as much as digits as its factorization.

65519 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1350, while the sum is 26.

The square root of 65519 is about 255.9667947215. The cubic root of 65519 is about 40.3139871855.

The spelling of 65519 in words is "sixty-five thousand, five hundred nineteen".

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