SSUME that in $25$ years you will need $$500,000$ for your retirement $($i$.$e$.$ retirement is actually $25$ years away, and you want to have saved $$500,000).$ How much money would you have to put into a bank today to accumulate this if your money will earn $13\mathrm{.}0\%$ per year $($assume annual compounding$)?$ Answer to the nearest dollar $($i$.$e$.$ units of dollars with no decimals$).$