It is a happy number.
51564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (12).
It is a nialpdrome in base 9.
It is a self number, because there is not a number n which added to its sum of digits gives 51564.
251564 is an apocalyptic number.
It is an amenable number.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
51564 is a wasteful number, since it uses less digits than its factorization.
51564 is an evil number, because the sum of its binary digits is even.
The square root of 51564 is about 227.0770794246. The cubic root of 51564 is about 37.2204997429.
The spelling of 51564 in words is "fifty-one thousand, five hundred sixty-four".