Białuń was formerly part of the German Empire. In the German Empire, the place was called Müggenhall.
The place is now called Białuń and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Müggenhall | German Empire | Saatzig | 1939 |
| Białuń | Under Polish administration | Stargard Szczeciński | 1945 |
| Białuń | Poland | Szczecin | 1992 |