8409135822201 has 9 divisors (see below), whose sum is σ = 12146542086991. Its totient is φ = 5606084748432.

The previous prime is 8409135822167. The next prime is 8409135822203. The reversal of 8409135822201 is 1022285319048.

The square root of 8409135822201 is 2899851.

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

8409135822201 is a `hidden beast` number, since 8 + 4 + 0 + 91 + 358 + 2 + 2 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5293289511225 + 3115846310976 = 2300715^2 + 1765176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8409135822201 - 2¹¹ = 8409135820153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8409135822203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8216245 + ... + 9182861.

Almost surely, 2^{8409135822201} is an apocalyptic number.

8409135822201 is the 2899851-st square number.

8409135822201 is the 1449926-th centered octagonal number.

It is an amenable number.

8409135822201 is a deficient number, since it is larger than the sum of its proper divisors (3737406264790).

8409135822201 is an frugal number, since it uses more digits than its factorization.

8409135822201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933240 (or 966620 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 8409135822201 in words is "eight trillion, four hundred nine billion, one hundred thirty-five million, eight hundred twenty-two thousand, two hundred one".