52009 has 2 divisors, whose sum is σ = 52010. Its totient is φ = 52008.

The previous prime is 51991. The next prime is 52021. The reversal of 52009 is 90025.

52009 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., 51984 + 25 = 228^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 52009 - 2⁵ = 51977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51983 and 52001.

It is not a weakly prime, because it can be changed into another prime (52069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26004 + 26005.

It is an arithmetic number, because the mean of its divisors is an integer number (26005).

2⁵²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

52009 is a deficient number, since it is larger than the sum of its proper divisors (1).

52009 is an equidigital number, since it uses as much as digits as its factorization.

52009 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 52009 is about 228.0548179715. The cubic root of 52009 is about 37.3272648158.

Adding to 52009 its sum of digits (16), we get a palindrome (52025).

The spelling of 52009 in words is "fifty-two thousand, nine".