53526 has 16 divisors (see below), whose sum is σ = 116928. Its totient is φ = 16200.

The previous prime is 53507. The next prime is 53527. The reversal of 53526 is 62535.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53527) by changing a digit.

53526 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 340 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (7308).

2⁵³⁵²⁶ is an apocalyptic number.

53526 is an abundant number, since it is smaller than the sum of its proper divisors (63402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58464).

53526 is a wasteful number, since it uses less digits than its factorization.

53526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827.

The product of its digits is 900, while the sum is 21.

The square root of 53526 is about 231.3568671987. The cubic root of 53526 is about 37.6867132525.

Subtracting 53526 from its reverse (62535), we obtain a palindrome (9009).

It can be divided in two parts, 535 and 26, that added together give a triangular number (561 = T₃₃).

The spelling of 53526 in words is "fifty-three thousand, five hundred twenty-six".