63526 has 8 divisors (see below), whose sum is σ = 99504. Its totient is φ = 30360.

The previous prime is 63521. The next prime is 63527. The reversal of 63526 is 62536.

63526 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 63497 and 63506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63521) by changing a digit.

63526 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 645 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (12438).

2⁶³⁵²⁶ is an apocalyptic number.

63526 is a deficient number, since it is larger than the sum of its proper divisors (35978).

63526 is a wasteful number, since it uses less digits than its factorization.

63526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406.

The product of its digits is 1080, while the sum is 22.

The square root of 63526 is about 252.0436470138. The cubic root of 63526 is about 39.9010052029.

Subtracting from 63526 its sum of digits (22), we obtain a square (63504 = 252²).

Subtracting from 63526 its reverse (62536), we obtain a triangular number (990 = T₄₄).

The spelling of 63526 in words is "sixty-three thousand, five hundred twenty-six".