If you think 1,000 kW on AM is a monster, you should know there are a few stations running 2,000 kW. For instance the Hungarian station on 540 uses five 400 kW Nautel units running in parallel to achieve the two megawatt power output.Then we are to assume we can expect a certain population living near the transmitting antennas to glow in the dark?
The highest power I have seen listed on the AM band was 2,500 kW for a station in Russia, but I believe that was shut down or reduced some years before the final phaseout of virtually all AM stations in that country around 2014.