53309 has 2 divisors, whose sum is σ = 53310. Its totient is φ = 53308.

The previous prime is 53299. The next prime is 53323. The reversal of 53309 is 90335.

53309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 12100 = 203^2 + 110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-53309 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p₅₄₃₈ and since 53309 and 5438 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26654 + 26655.

It is an arithmetic number, because the mean of its divisors is an integer number (26655).

2⁵³³⁰⁹ is an apocalyptic number.

It is an amenable number.

53309 is a deficient number, since it is larger than the sum of its proper divisors (1).

53309 is an equidigital number, since it uses as much as digits as its factorization.

53309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 53309 is about 230.8874184532. The cubic root of 53309 is about 37.6357156486.

The spelling of 53309 in words is "fifty-three thousand, three hundred nine".