Limestone is located in Cattaraugus county New york with a geographic area of 1.7 square miles. The total population in Limestone is 458 with 48.9% male and 51.1% female. Children under age 5 represent 7.9% of the population, under age 18 equal 24.5% of the population and over age 65 is 15.9% of the population. The median household income is $50,625, per capita income is $28,687. There are a total of 204 housing units with 78.9% owner occupied. Education includes 41.2% of residents that are high school graduates and 23.0% with a bachelor's degree or higher. The average temperature in Limestone in the summer is 70 degrees, and in the winter 27 degrees.