9006895320201 has 45 divisors (see below), whose sum is σ = 13557889440381. Its totient is φ = 5958913390056.

The previous prime is 9006895320169. The next prime is 9006895320239. The reversal of 9006895320201 is 1020235986009.

The square root of 9006895320201 is 3001149.

It is a perfect power (a square), and thus also a powerful number.

9006895320201 is a `hidden beast` number, since 90 + 0 + 6 + 8 + 9 + 532 + 0 + 20 + 1 = 666.

It is not a de Polignac number, because 9006895320201 - 2⁵ = 9006895320169 is a prime.

It is a super-2 number, since 2×9006895320201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9006895320251) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3754436200 + ... + 3754438598.

Almost surely, 2^{9006895320201} is an apocalyptic number.

9006895320201 is the 3001149-th square number.

9006895320201 is the 1500575-th centered octagonal number.

It is an amenable number.

9006895320201 is a deficient number, since it is larger than the sum of its proper divisors (4550994120180).

9006895320201 is an frugal number, since it uses more digits than its factorization.

9006895320201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 9006895320201 in words is "nine trillion, six billion, eight hundred ninety-five million, three hundred twenty thousand, two hundred one".