try something like
$paged = ( get_query_var('page') ) ? get_query_var('page') : 1;
args = array(
'orderby' => 'date',
'order' => 'DESC',
'post_type' => 'event-calendar',
'posts_per_page' => 5,
'paged' => $paged
);
$query = new WP_Query( $args );
while ($query->have_posts()){
// do stuff
}