1006533528 has 128 divisors (see below), whose sum is σ = 3378654720. Its totient is φ = 241320960.

The previous prime is 1006533503. The next prime is 1006533571. The reversal of 1006533528 is 8253356001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3076 + ... + 44972.

It is an arithmetic number, because the mean of its divisors is an integer number (26395740).

Almost surely, 2^1006533528 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 1006533528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689327360).

1006533528 is an abundant number, since it is smaller than the sum of its proper divisors (2372121192).

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

1006533528 is a wasteful number, since it uses less digits than its factorization.

1006533528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41937 (or 41933 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1006533528 is about 31725.9125637073. The cubic root of 1006533528 is about 1002.1731168092.

Adding to 1006533528 its reverse (8253356001), we get a palindrome (9259889529).

The spelling of 1006533528 in words is "one billion, six million, five hundred thirty-three thousand, five hundred twenty-eight".