9009000035201 has 2 divisors, whose sum is σ = 9009000035202. Its totient is φ = 9009000035200.

The previous prime is 9009000035159. The next prime is 9009000035207. The reversal of 9009000035201 is 1025300009009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8172051342400 + 836948692801 = 2858680^2 + 914849^2 .

It is a cyclic number.

It is not a de Polignac number, because 9009000035201 - 2¹⁴ = 9009000018817 is a prime.

It is a super-2 number, since 2×9009000035201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9009000035207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4504500017600 + 4504500017601.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500017601).

Almost surely, 2^{9009000035201} is an apocalyptic number.

It is an amenable number.

9009000035201 is a deficient number, since it is larger than the sum of its proper divisors (1).

9009000035201 is an equidigital number, since it uses as much as digits as its factorization.

9009000035201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 29.

The spelling of 9009000035201 in words is "nine trillion, nine billion, thirty-five thousand, two hundred one".