Dependent on the construction i wouldnt say this is a problem.
If the flat has concrete slab flooring or is of block and beam foundation, stell reinforcing bars will be in place to stop any concrete faliure due to tension, a large wight in this instance. What you need to assess is how old the building is and if it is converted or purpose built. If converted with wooden joists, i wouldnt put it on loadbearing joists under 8'' x 2 1/2'' at 400mm spacings minimum AND i would check em for woodworm or any form of rot. Your tank (rena aqualife 600 ???) is 130kg and the water will be 600kg, so 3/4 of a ton or 7150 Newtons over a 2 metre area isnt really a load that you should worry about.
If you have a concrete slab or block and beam flooring, you dont really have a problem. What you must remember is that as long as you are placing it against a wall, and not in the middle of the room ( as a room divider etc) then you are asking gravity to act through the point where the loadbearing floor meets the wall, which is very strong. If you put it in the middle, i would worry about the prolonged effect of the weight on the weakest point of the floor.
Remember, floors are massively over engineered as are buildings as a whole. This is because the Biuldings inspector wants things over specified rather than those which are passable, because in the event of a faliure, its his insurance that will be claimed upon. Often they wont pass some aspects of structural alterations etc until a structural engineer has done the calcs EVEN if he knows it will pass. This is simply due to the fact the engineer has insurance too!
Example - a true one. I knocked some walls down in my house and specified 8 x 4 inch RSJs. I did my maths and knew they were more than enough to take the dead load and imposed load of the building. I presented this to building control, who then told me to get a structural engineer or they wouldnt pass that part of the build. Paid over £200 for some calcs that told me all i needed was 7 x 3 RSJs. Biulding control Officers get tought what will be required to take what load, but will hardly ever put thier name to it in case it fails. They will always look to pass the responsibility elsewhere.
Rant over.
Get insurance though for any accidents. Dont want a swimming pool on the 1st floor.