Factor the semiprime:
4069102376343910986355021110116130565225765903463275841
(In reply to
solution (spoiler) by Charlie)
The number is not a perfect square, look at both sides mod 1000:
841 = 79^2 mod 1000 implies 841 = 241 mod 1000, a false statement. But the semiprime is still extremely close to a square.