Entropy = 7.999993 bits per byte. Optimum compression would reduce the size of this 25000000 byte file by 0 percent. Chi square distribution for 25000000 samples is 258.47, and randomly would exceed this value 42.76 percent of the times. Arithmetic mean value of data bytes is 127.5165 (127.5 = random). Monte Carlo value for Pi is 3.141060983 (error 0.02 percent). Serial correlation coefficient is 0.000434 (totally uncorrelated = 0.0).