To whom the properties belong?

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There are many properties like the closure property, commutative property, associative property, distributive property.

Now my question is are these the properties of numbers or operations.

Should I say the closure property of integers or addition.

To me it looks like they are the properties of Operations because for e.g. integers can be closed under addition but not under division.

Still I am a little bit confused.

Any help is highly appreciated.