Setting aside for the moment everything except the object-level claim, it isn't immediately clear to Toff Ornelos how this works.
What's the significance of the number? Is 3,573,960,433 a perfect cube...? No, not a cube, although it's a little close to one. (Weird coincidence? Weird coincidence.)
...But is 3,573,960,433 a prime. Did the Primate of Varisia just casually drop a prime number greater than 2,147,483,647? Rent a room for him in Axis, Toff is going to need paper and a pencil for this. Else prestidigitation to paint on the shell of a turtle.
...Well, Toff can't easily rule out the possibility, and he's used all the space on his turtle.
(At least, he's used up the space on the top of the shell. But he can just flip his turtle over and, what's more, the bottom is flatter to write on.)