265 is the number of derangements possible with 6 digits. That means that it is equivalent to !6.[3]
The number 265 is associated with the geometric shape known as the Vesica Piscis. This is shown by having 2 circles overlap in a way that the circumference of each circle touches the center of the other. Archimedes estimated that the ratio of the height of this shape to the width was 265:153 or approximately √3.[4]
265 is the 22nd Padovan number which is defined by the two equations P(0)=P(1)=P(2)=1 and P(n)=P(n-2)+P(n-3) similar to the Fibonacci sequence.[5]
In 2021, scientists developed waveguide-coupled germaniumphotodiodes, which produced a bandwidth of 265 GHz.[8]
The Garmin Forerunner 265 is a running watch that has both the functionality of a smartwatch and that of an exercising watch. It provides comprehensive exercising data for the user.[9]
World Records
The record for skipping rope on one leg in one minute was set by Gbenga Ezekiel at 265 times.[10]
On October 14, 2021, Johnson & Johnson achieved the Guinness World Record for the number of people simultaneously making heart hand gestures. There were 265 participants.[11]
On March 5, 2022, Sony achieved the largest synchronized car dance of 265 cars in Dubai.[12]
On May 16, 2010, Sai Manapragada received the Guinness World Record for the most languages sung in a single song which was 265.[13]