To specify the next number, you would need to recognize some sort of pattern. The numbers are different squares and cubes; but they seem to be in some random order.
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To find the next number in the sequence 4, 11, 25, 53, we can observe the differences between consecutive terms: 11 - 4 = 7, 25 - 11 = 14, and 53 - 25 = 28. The differences (7, 14, 28) double each time, suggesting the next difference should be 56. Adding this to the last number, 53 + 56, we get 109 as the next number in the sequence.
The next number in the sequence is... 64
125 (the sequence is successive numbers cubed)
64
81