11006512 has 40 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 4783680.

The previous prime is 11006503. The next prime is 11006521. The reversal of 11006512 is 21560011.

It is a happy number.

11006512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11006503) and next prime (11006521).

It is a super-2 number, since 2×11006512² = 242286612812288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2689 + ... + 5407.

It is an arithmetic number, because the mean of its divisors is an integer number (607104).

Almost surely, 2^11006512 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 11006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

11006512 is an abundant number, since it is smaller than the sum of its proper divisors (13277648).

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

11006512 is a wasteful number, since it uses less digits than its factorization.

11006512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 11006512 is about 3317.6063660416. The cubic root of 11006512 is about 222.4418869400.

Adding to 11006512 its reverse (21560011), we get a palindrome (32566523).

The spelling of 11006512 in words is "eleven million, six thousand, five hundred twelve".