4512 has 24 divisors (see below), whose sum is σ = 12096. Its totient is φ = 1472.

The previous prime is 4507. The next prime is 4513. The reversal of 4512 is 2154.

4512 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4513) by changing a digit.

4512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2⁴⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048).

4512 is an abundant number, since it is smaller than the sum of its proper divisors (7584).

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

4512 is a wasteful number, since it uses less digits than its factorization.

4512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its digits is 40, while the sum is 12.

The square root of 4512 is about 67.1714224950. The cubic root of 4512 is about 16.5242984513.

Adding to 4512 its reverse (2154), we get a palindrome (6666).

It can be divided in two parts, 4 and 512, that multiplied together give a 11-th power (2048 = 2¹¹).

The spelling of 4512 in words is "four thousand, five hundred twelve".