AufQR$25\mathrm{.}1\mathrm{.}0\mathrm{.}001.$

Researchers studied the replication behavior of a certain virus. From an initial $1,000$ copies of the virus, the researchers found that the virus population was increasing at a rate of $16\%$ every $5$ hours. The number of viruses N is given by the following model, where t is the number of hours after the study began with the $1,000$ copies of the virus.

N $=1,000(1\mathrm{.}16)$t$/5$

Use the model to predict the number of viruses in $13$ hours. Round to the nearest whole number.