11038512 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3494400.

The previous prime is 11038507. The next prime is 11038529. The reversal of 11038512 is 21583011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139689 + ... + 139767.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^11038512 is an apocalyptic number.

11038512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11038512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

11038512 is an abundant number, since it is smaller than the sum of its proper divisors (18959568).

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

11038512 is a wasteful number, since it uses less digits than its factorization.

11038512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11038512 is about 3322.4256199349. The cubic root of 11038512 is about 222.6572519635.

The spelling of 11038512 in words is "eleven million, thirty-eight thousand, five hundred twelve".