50 megawatts (MW) of power is (perhaps obviously) able to supply 50 megawatt-hours (MWh) of energy every hour.
According to a google search, the average US residential customer consumes 886kWh (0.9MWh) of energy per month.
50MW -> approximately 36.5GWh / month
36.5GWh / (886kWh/home) -> 41196 homes
So, about 42,000 homes worth of power could be supplied each month in theory, but there are a lot of asterisks on that. (One example of an asterisk: residential load factors are really low. Another quick google search suggests Phoenix, AZ homes have a load factor of 33%, so 50MW might only be good for 16,000 homes if you want to avoid blackouts. There are other factors that would affect the number further, but 16k is probably a good approximation.)
Electricity for our everyday applications is nice, but its demand is elastic (depends on price) and there is no rule of thumb about consumption per person outside of just measuring what various societies happen to use currently, but that's bad data to plan by as we are hugely overusing and underpricing fossils. Some communities don't use any electricity, etc.
Also notice that 50 MW is only the approved level. Each module can actually produce more, but NRC only approved 50 MW so far. Towards the end of the article you can see that NuScale is applying for uprating the modules to 77 MW, and it's expected the NRC will review this in 2024.
If you had a battery with 20kWh and it was empty after two hours, you would know that it was providing 10kW, which is a measure of the energy released over time, aka. average power.
I don't think nynx's comment made things much clearer to anyone, though.