63506 has 8 divisors (see below), whose sum is σ = 96444. Its totient is φ = 31360.

The previous prime is 63499. The next prime is 63521. The reversal of 63506 is 60536.

It can be written as a sum of positive squares in 2 ways, for example, as 60025 + 3481 = 245^2 + 59^2 .

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 6² + 3¹⁰ + 5⁵ + 0 + 6⁴ .

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 86 + ... + 366.

2⁶³⁵⁰⁶ is an apocalyptic number.

63506 is a deficient number, since it is larger than the sum of its proper divisors (32938).

63506 is a wasteful number, since it uses less digits than its factorization.

63506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 63506 is about 252.0039682227. The cubic root of 63506 is about 39.8968173960.

Adding to 63506 its product of nonzero digits (540), we get a palindrome (64046).

It can be divided in two parts, 63 and 506, that multiplied together give a triangular number (31878 = T₂₅₂).

The spelling of 63506 in words is "sixty-three thousand, five hundred six".