The number of positive integral solutions of $\frac{1}{x} + \frac{1}{y} = \frac{1}{2025}$ is
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Equations of the form $\frac{1}{x} + \frac{1}{y} = \frac{1}{n}$ can be transformed into $(x-n)(y-n) = n^2$. The number of positive integer solutions is equal to the number of divisors of $n^2$.