Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_50 (population INTEGER, rank VARCHAR, median_house__hold_income VARCHAR)

### Question ###
What is the population where the rank is higher than 51 and the Median House-hold income is $25,250?

### Accurate SQL ###

SELECT SUM(population) FROM table_name_50 WHERE rank > 51 AND median_house__hold_income = "$25,250"