9009001001 has 32 divisors (see below), whose sum is σ = 12294379776. Its totient is φ = 6373728000.

The previous prime is 9009000977. The next prime is 9009001007. The reversal of 9009001001 is 1001009009.

It is a cyclic number.

It is not a de Polignac number, because 9009001001 - 2¹⁰ = 9008999977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9009001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12710 + ... + 134831.

It is an arithmetic number, because the mean of its divisors is an integer number (384199368).

Almost surely, 2^9009001001 is an apocalyptic number.

9009001001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9009001001 is a deficient number, since it is larger than the sum of its proper divisors (3285378775).

9009001001 is a wasteful number, since it uses less digits than its factorization.

9009001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147633.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 9009001001 is about 94915.7573904354. The cubic root of 9009001001 is about 2080.7770304000. Note that the first 3 decimals are identical.

It can be divided in two parts, 900900 and 1001, that multiplied together give a square (901800900 = 30030²).

The spelling of 9009001001 in words is "nine billion, nine million, one thousand, one".