5209 has 2 divisors, whose sum is σ = 5210.
Its totient is φ = 5208.
The previous prime is 5197. The next prime is 5227. The reversal of 5209 is 9025.
Adding to 5209 its sum of digits (16), we get a palindrome (5225).
It can be divided in two parts, 520 and 9, that added together give a square (529 = 232).
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 5184 + 25 = 72^2 + 5^2
It is a cyclic number.
It is not a de Polignac number, because 5209 - 27 = 5081 is a prime.
It is a plaindrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 5192 and 5201.
It is not a weakly prime, because it can be changed into another prime (5279) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2604 + 2605.
It is an arithmetic number, because the mean of its divisors is an integer number (2605).
25209 is an apocalyptic number.
It is an amenable number.
5209 is a deficient number, since it is larger than the sum of its proper divisors (1).
5209 is an equidigital number, since it uses as much as digits as its factorization.
5209 is an evil number, because the sum of its binary digits is even.
The product of its (nonzero) digits is 90, while the sum is 16.
The square root of 5209 is about 72.1734023031.
The cubic root of 5209 is about 17.3347714126.
The spelling of 5209 in words is "five thousand, two hundred nine".