Step 1: Check whether the numbers are perfect squares.
\[
625=25^2
\]
\[
729=27^2
\]
\[
529=23^2
\]
\[
539 \neq n^2
\]
for any integer \(n\).
Step 2: Compare the properties.
The first three numbers are perfect squares, whereas 539 is not.
Therefore, 539 does not belong to the group.
{539}