63529 has 8 divisors (see below), whose sum is σ = 69768. Its totient is φ = 57600.

The previous prime is 63527. The next prime is 63533. The reversal of 63529 is 92536.

63529 is nontrivially palindromic in base 5.

63529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48400 + 15129 = 220^2 + 123^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 63529 - 2¹ = 63527 is a prime.

It is a d-powerful number, because it can be written as 6⁴ + 3³ + 5⁵ + 2⁵ + 9⁵ .

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (8721).

2⁶³⁵²⁹ is an apocalyptic number.

It is an amenable number.

63529 is a deficient number, since it is larger than the sum of its proper divisors (6239).

63529 is a wasteful number, since it uses less digits than its factorization.

63529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155.

The product of its digits is 1620, while the sum is 25.

The square root of 63529 is about 252.0495982937. The cubic root of 63529 is about 39.9016332981.

Subtracting from 63529 its sum of digits (25), we obtain a square (63504 = 252²).

The spelling of 63529 in words is "sixty-three thousand, five hundred twenty-nine".