-are my funds safe on this exchange or not?''
Any address used in holding your coins or tokens and you don't have the secret phrase or private key of that wallet, it means that you are not completely the own of that coins. You can use binance exchange to trade your spot coins and tokens but you don't have to save your coins on the exchange because centralized exchanges are not the safest place to hold your coins but rather in a self custody wallet which give you full control on your asset.