5309 has 2 divisors, whose sum is σ = 5310. Its totient is φ = 5308.

The previous prime is 5303. The next prime is 5323. The reversal of 5309 is 9035.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2809 + 2500 = 53^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 5309 - 2^{12} = 1213 is a prime.

It is a Chen prime.

It is a plaindrome in base 13, base 15 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 5309.

It is not a weakly prime, because it can be changed into another prime (5303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2654 + 2655.

It is an arithmetic number, because the mean of its divisors is an integer number (2655).

2^{5309} is an apocalyptic number.

It is an amenable number.

5309 is a deficient number, since it is larger than the sum of its proper divisors (1).

5309 is an equidigital number, since it uses as much as digits as its factorization.

5309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 5309 is about 72.8628849278. The cubic root of 5309 is about 17.4449973755. Note that the first 3 decimals are identical.

The spelling of 5309 in words is "five thousand, three hundred nine".

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