  A digit $\pi_j$ in a permutation $\pi=[\pi_1,\ldots,\pi_n]\in S_n$ is defined
to be a separator of $\pi$ if by omitting it from $\pi$ we get a new $2-$block.
In this work we introduce a new statistic, the number of separators, on the
symmetric group $S_n$ and calculate its distribution over $S_n$. We also
provide some enumerative and asymptotic results regarding this statistic.
