653

Number
$653$ (six hundred and fifty-three) is:


 * The $119$th prime number


 * The $29$th Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $\ldots$, $233$, $239$, $251$, $281$, $293$, $359$, $419$, $431$, $443$, $491$, $509$, $593$, $641$:
 * $2 \times 653 + 1 = 1307$, which is prime.