Write SQL query to solve given problem: Find the full name and popularity of the professor who advises the most number of students.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT T1.first_name, T1.last_name, T1.popularity FROM prof AS T1 INNER JOIN RA AS T2 ON T1.prof_id = T2.prof_id GROUP BY T1.prof_id ORDER BY COUNT(T2.student_id) DESC LIMIT 1