In a certain city, the population $P$ of a particular species of bird is modeled by the exponential growth function:

$$ P(t) = P_0 e^{kt} $$

where:

• $P_0$ is the initial population,
• $k$ is the growth rate, and
• $t$ is time in years.

Suppose that the initial population of this bird species is $P_0 = 500$ and the growth rate is $k = 0.05$. Determine the population of the bird species after 10 years. Enter your answer as a whole number in the grid.