Part of the whole formula predicts that for any known mass, we can find out the radius it would have to be to cause electromagnetic radiation to be shifted to infinity by a gravitational red shift.

r = 2GM/c^{2}

For the mass of the sun, it would be a black hole if shrunk to a
radius of around 3km. Using the mass of the universe 10^{53}kg
results in a universe where all em. radiation would be red shifted to infinity
at a distance of around 1.48 x 10^{26 }m due to
the evenly distributed contents of the whole universe. That is nothing to
do with any gravitational red shift of individual galaxies. This value is close
to that which we observe. In a big bang universe, this would only apply to our
present epoch. So, it is a coincidence or it has some other significance?