63509 has 4 divisors (see below), whose sum is σ = 65100. Its totient is φ = 61920.

The previous prime is 63499. The next prime is 63521. The reversal of 63509 is 90536.

63509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 52900 = 103^2 + 230^2 .

It is a cyclic number.

It is not a de Polignac number, because 63509 - 2⁴ = 63493 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63559) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 734 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (16275).

2⁶³⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

63509 is a deficient number, since it is larger than the sum of its proper divisors (1591).

63509 is a wasteful number, since it uses less digits than its factorization.

63509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 63509 is about 252.0099204397. The cubic root of 63509 is about 39.8974456230.

The spelling of 63509 in words is "sixty-three thousand, five hundred nine".