8281000000 has 441 divisors, whose sum is σ = 25873438347. Its totient is φ = 2620800000.

The previous prime is 8280999989. The next prime is 8281000009. The reversal of 8281000000 is 1828.

It is a happy number.

The square root of 8281000000 is 91000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 3884779584 + 4396220416 = 62328^2 + 66304^2 .

It is a super-2 number, since 2×8281000000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8281000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 636999994 + ... + 637000006.

Almost surely, 2^8281000000 is an apocalyptic number.

8281000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8281000000 is the 91000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8281000000

8281000000 is an abundant number, since it is smaller than the sum of its proper divisors (17592438347).

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

8281000000 is an frugal number, since it uses more digits than its factorization.

8281000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The cubic root of 8281000000 is about 2023.1477245126.

Adding to 8281000000 its reverse (1828), we get a palindrome (8281001828).

The spelling of 8281000000 in words is "eight billion, two hundred eighty-one million", and thus it is an aban number.