510,510

Number
$510 \, 510$ (five hundred and ten thousand, five hundred and ten) is:


 * $2 \times 3 \times 5 \times 7 \times 11 \times 13 \times 17$


 * The $7$th primorial after $1$, $2$, $6$, $30$, $210$, $2310$, $30 \, 030$ (counting $1$ as the zeroth):
 * $510 \, 510 = p_7 \# = 17 \# = 2 \times 3 \times 5 \times 7 \times 11 \times 13 \times 17$
 * Hence the smallest positive integer with $7$ distinct prime factors.


 * The $5$th primorial after $2$, $6$, $30$, $210$, and the largest known, which can be expressed as the product of consecutive integers:
 * $510 \, 510 = 17 \# = 714 \times 715$


 * Can be expressed as the product of $4$ distinct Fibonacci numbers:
 * $510 \, 510 = 13 \times 21 \times 34 \times 55$

Also see

 * 510,510 is Product of 4 Consecutive Fibonacci Numbers