9005071820 has 12 divisors (see below), whose sum is σ = 18910650864. Its totient is φ = 3602028720.

The previous prime is 9005071723. The next prime is 9005071861. The reversal of 9005071820 is 281705009.

It is a super-2 number, since 2×9005071820² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225126776 + ... + 225126815.

It is an arithmetic number, because the mean of its divisors is an integer number (1575887572).

Almost surely, 2^9005071820 is an apocalyptic number.

It is an amenable number.

9005071820 is an abundant number, since it is smaller than the sum of its proper divisors (9905579044).

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

9005071820 is a wasteful number, since it uses less digits than its factorization.

9005071820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450253600 (or 450253598 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 9005071820 is about 94895.0568786383. The cubic root of 9005071820 is about 2080.4744834084.

Adding to 9005071820 its reverse (281705009), we get a palindrome (9286776829).

The spelling of 9005071820 in words is "nine billion, five million, seventy-one thousand, eight hundred twenty".