Properties of 5,559,060,566,555,523

Theorem
$3^{33} = 5 \, 559 \, 060 \, 566 \, 555 \, 523$ has the following properties:


 * It has a remarkably large number of $5$s (half of its digits).


 * Multiply it by $2$, $4$ or $6$, and the result has $10$ of a particular digit.


 * Multiply it by $8$, and $9$ of the digits of the result are $4$.