9185010001 has 12 divisors (see below), whose sum is σ = 9727071732. Its totient is φ = 8671790304.

The previous prime is 9185009959. The next prime is 9185010011. The reversal of 9185010001 is 1000105819.

9185010001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8042502400 + 1142507601 = 89680^2 + 33801^2 .

It is not a de Polignac number, because 9185010001 - 2⁹ = 9185009489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9185010011) 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 11 ways as a sum of consecutive naturals, for example, 62355 + ... + 149191.

It is an arithmetic number, because the mean of its divisors is an integer number (810589311).

Almost surely, 2^9185010001 is an apocalyptic number.

It is an amenable number.

9185010001 is a deficient number, since it is larger than the sum of its proper divisors (542061731).

9185010001 is a wasteful number, since it uses less digits than its factorization.

9185010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87168 (or 87149 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 25.

The square root of 9185010001 is about 95838.4578392203. The cubic root of 9185010001 is about 2094.2404539777.

The spelling of 9185010001 in words is "nine billion, one hundred eighty-five million, ten thousand, one".