| Place Name | Limestone |
| Place Type | Census Designated Place |
| ZIP Code(s) | 14753 |
| County | Cattaraugus County |
| Area Code(s) | 716 |
| Timezone | Eastern Daylight Time (EDT) |
| Population (2022) | 282 |
| Population Growth Rate (2010-19) | -7.97% |
| Majority Ethnicity | White 98.1% |
| Metro/Micro Stats Area | Olean, NY |
| US Congressional District(s) | New York 23rd |
| State Assembly Districts | 148 |
| State Senate Districts | 57 |
| Race/Ethnicy | Percentage of Population (2021) |
|---|---|
| White | 98.1% |
| African American | 1.05% |
| Hispanic | 0.63% |
| Asian | 0% |
| Native American | 0% |
| Hawaiin/Pacific Islander | 0.21% |