9983250000 has 700 divisors, whose sum is σ = 39560821740. Its totient is φ = 2419200000.

The previous prime is 9983249999. The next prime is 9983250001. The reversal of 9983250000 is 523899.

It is an interprime number because it is at equal distance from previous prime (9983249999) and next prime (9983250001).

It can be written as a sum of positive squares in 14 ways, for example, as 9294502464 + 688747536 = 96408^2 + 26244^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9983250001) 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 139 ways as a sum of consecutive naturals, for example, 344249986 + ... + 344250014.

Almost surely, 2^9983250000 is an apocalyptic number.

9983250000 is a gapful number since it is divisible by the number (90) 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 9983250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19780410870).

9983250000 is an abundant number, since it is smaller than the sum of its proper divisors (29577571740).

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

9983250000 is an equidigital number, since it uses as much as digits as its factorization.

9983250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9983250000 is about 99916.2149002853. The cubic root of 9983250000 is about 2153.2311250892.

Adding to 9983250000 its reverse (523899), we get a palindrome (9983773899).

The spelling of 9983250000 in words is "nine billion, nine hundred eighty-three million, two hundred fifty thousand".