Entropy = 7.999999 bits per byte.

Optimum compression would reduce the size
of this 250000000 byte file by 0 percent.

Chi square distribution for 250000000 samples is 220.51, and randomly
would exceed this value 94.20 percent of the times.

Arithmetic mean value of data bytes is 127.5046 (127.5 = random).
Monte Carlo value for Pi is 3.141290162 (error 0.01 percent).
Serial correlation coefficient is 0.000002 (totally uncorrelated = 0.0).