653

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


 * The $119$th prime number


 * The $12$th balanced prime after $5$, $53$, $157$, $173$, $211$, $257$, $263$, $373$, $563$, $593$, $607$:
 * $653 = \dfrac {647 + 659} 2$


 * 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.