9006531930 has 96 divisors (see below), whose sum is σ = 25583351040. Its totient is φ = 2180192640.

The previous prime is 9006531923. The next prime is 9006531931. The reversal of 9006531930 is 391356009.

9006531930 is a `hidden beast` number, since 90 + 0 + 6 + 531 + 9 + 30 = 666.

It is a super-2 number, since 2×9006531930² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9006531931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705484 + ... + 718136.

It is an arithmetic number, because the mean of its divisors is an integer number (266493240).

Almost surely, 2^9006531930 is an apocalyptic number.

9006531930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9006531930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791675520).

9006531930 is an abundant number, since it is smaller than the sum of its proper divisors (16576819110).

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

9006531930 is a wasteful number, since it uses less digits than its factorization.

9006531930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396 (or 13393 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 9006531930 is about 94902.7498547856. The cubic root of 9006531930 is about 2080.5869221722.

Adding to 9006531930 its reverse (391356009), we get a palindrome (9397887939).

The spelling of 9006531930 in words is "nine billion, six million, five hundred thirty-one thousand, nine hundred thirty".