9881983125 has 480 divisors, whose sum is σ = 24359702400. Its totient is φ = 3919104000.

The previous prime is 9881983121. The next prime is 9881983127. The reversal of 9881983125 is 5213891889.

It is not a de Polignac number, because 9881983125 - 2² = 9881983121 is a prime.

It is a super-3 number, since 3×9881983125³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9881983121) 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 479 ways as a sum of consecutive naturals, for example, 267080607 + ... + 267080643.

It is an arithmetic number, because the mean of its divisors is an integer number (50749380).

Almost surely, 2^9881983125 is an apocalyptic number.

9881983125 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9881983125 is an abundant number, since it is smaller than the sum of its proper divisors (14477719275).

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

9881983125 is a wasteful number, since it uses less digits than its factorization.

9881983125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 9881983125 is about 99408.1642773872. The cubic root of 9881983125 is about 2145.9258070139.

The spelling of 9881983125 in words is "nine billion, eight hundred eighty-one million, nine hundred eighty-three thousand, one hundred twenty-five".