57

57 (fifty-seven) is a positive integer following 56 and preceding 58. Its ordinal form is written "fifty-seventh" or 57th.
== Properties ==
*57 is a .
*The integral part of 180/π is equal to 57.
*57 is also the smallest n such that nn is larger than a googol.
*57 is not a prime, but it is known as the legend of the so-called "Grothendieck prime" from the following story. When a mathematician was suggested to consider a particular prime number, Grothendieck answered "All right, take 57."Jackson, A. (2004). "Comme Appelé du Néant—As if Summoned from the Void: The Life of Alexandre Grothendieck" Notices of the American Mathematical Society. 51 (10).
== In googology ==
In Greek-based number-naming systems, 57 is associated with prefix "heptapentaconta-", and with prefix "septemquinquaginti-" in Latin systems.
== Sources ==
Category:Numbers
Category:Class 1
Category:Non-powers
Category:Numbers 0-99
Category:Numbers with 1 to 2 digits
Category:Odd numbers
Category:Pi-related numbers