63512 has 16 divisors (see below), whose sum is σ = 126360. Its totient is φ = 29824.

The previous prime is 63499. The next prime is 63521. The reversal of 63512 is 21536.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

63512 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 3 ways as a sum of consecutive naturals, for example, 98 + ... + 369.

2⁶³⁵¹² is an apocalyptic number.

It is an amenable number.

63512 is a deficient number, since it is larger than the sum of its proper divisors (62848).

63512 is a wasteful number, since it uses less digits than its factorization.

63512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 63512 is about 252.0158725160. The cubic root of 63512 is about 39.8980738303.

It can be divided in two parts, 63 and 512, that added together give a palindrome (575).

The spelling of 63512 in words is "sixty-three thousand, five hundred twelve".