9981009001 has 2 divisors, whose sum is σ = 9981009002. Its totient is φ = 9981009000.

The previous prime is 9981008993. The next prime is 9981009109. The reversal of 9981009001 is 1009001899.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8681766976 + 1299242025 = 93176^2 + 36045^2 .

It is an emirp because it is prime and its reverse (1009001899) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9981009001 - 2³ = 9981008993 is a prime.

It is not a weakly prime, because it can be changed into another prime (9981009601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4990504500 + 4990504501.

It is an arithmetic number, because the mean of its divisors is an integer number (4990504501).

Almost surely, 2^9981009001 is an apocalyptic number.

It is an amenable number.

9981009001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9981009001 is an equidigital number, since it uses as much as digits as its factorization.

9981009001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 37.

The square root of 9981009001 is about 99904.9998798859. Note that the first 3 decimals coincide. The cubic root of 9981009001 is about 2153.0699968693.

The spelling of 9981009001 in words is "nine billion, nine hundred eighty-one million, nine thousand, one".