# How do I add a plot label in this case?

I am fitting these data:

{{621826., 1.32918*10^46}, {1.65455*10^6,
6.40166*10^45}, {2.71762*10^6, 4.07986*10^45}, {3.78694*10^6,
2.97358*10^45}, {4.86065*10^6, 2.33453*10^45}, {5.93587*10^6,
1.91844*10^45}, {7.01104*10^6, 1.6266*10^45}, {8.08594*10^6,
1.4124*10^45}, {9.16232*10^6, 1.24839*10^45}}


with a function of the type: $$f(t)=\dfrac{a}{b+t}.$$ When I plot the result with the code:

ListPlot[vals,PlotStyle->Red,Epilog->{First@Plot[(1.1*10^52)/(2*10^3+t),{t,0,10^7},PlotRange->All,PlotLabel->"F1(t)"]}]


I expect to see a plot label $$F1(t)$$, but I do not see it. How do I add a plot label in this case?

Put the PlotLabel inside the main plot, not inside Epilog:
ListPlot[vals, PlotStyle -> Red, PlotLabel -> "F1(t)",