11312535528 has 144 divisors (see below), whose sum is σ = 36869566500. Its totient is φ = 3120671232.

The previous prime is 11312535527. The next prime is 11312535529. The reversal of 11312535528 is 82553521311.

11312535528 is a `hidden beast` number, since 1 + 1 + 3 + 125 + 3 + 5 + 528 = 666.

11312535528 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 (11312535527) and next prime (11312535529).

It can be written as a sum of positive squares in 2 ways, for example, as 11282263524 + 30272004 = 106218^2 + 5502^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11312535492 and 11312535501.

It is not an unprimeable number, because it can be changed into a prime (11312535527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47028 + ... + 157596.

Almost surely, 2^11312535528 is an apocalyptic number.

11312535528 is a gapful number since it is divisible by the number (18) 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 11312535528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434783250).

11312535528 is an abundant number, since it is smaller than the sum of its proper divisors (25557030972).

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

11312535528 is a wasteful number, since it uses less digits than its factorization.

11312535528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110624 (or 110610 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 11312535528 in words is "eleven billion, three hundred twelve million, five hundred thirty-five thousand, five hundred twenty-eight".