63521 has 2 divisors, whose sum is σ = 63522.
Its totient is φ = 63520.
The previous prime is 63499. The next prime is 63527. The reversal of 63521 is 12536.
Subtracting from 63521 its sum of digits (17), we obtain a square (63504 = 2522).
It can be divided in two parts, 635 and 21, that added together give a palindrome (656).
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 57121 + 6400 = 239^2 + 80^2
It is a cyclic number.
It is not a de Polignac number, because 63521 - 210 = 62497 is a prime.
It is a Chen prime.
It is a nialpdrome in base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 63521.
It is not a weakly prime, because it can be changed into another prime (63527) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31760 + 31761.
It is an arithmetic number, because the mean of its divisors is an integer number (31761).
263521 is an apocalyptic number.
It is an amenable number.
63521 is a deficient number, since it is larger than the sum of its proper divisors (1).
63521 is an equidigital number, since it uses as much as digits as its factorization.
63521 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 180, while the sum is 17.
The square root of 63521 is about 252.0337279016.
The cubic root of 63521 is about 39.8999583336.
The spelling of 63521 in words is "sixty-three thousand, five hundred twenty-one".