13852532166201 has 27 divisors (see below), whose sum is σ = 20045292373197. Its totient is φ = 9218399443200.

The previous prime is 13852532166157. The next prime is 13852532166211. The reversal of 13852532166201 is 10266123525831.

It is a happy number.

The square root of 13852532166201 is 3721899.

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

13852532166201 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 2 + 5 + 3 + 2 + 16 + 620 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 293758580025 + 13558773586176 = 541995^2 + 3682224^2 .

It is not a de Polignac number, because 13852532166201 - 2⁷ = 13852532166073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13852532166211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11534164401 + ... + 11534165601.

Almost surely, 2^{13852532166201} is an apocalyptic number.

13852532166201 is the 3721899-th square number.

13852532166201 is the 1860950-th centered octagonal number.

It is an amenable number.

13852532166201 is a deficient number, since it is larger than the sum of its proper divisors (6192760206996).

13852532166201 is an frugal number, since it uses more digits than its factorization.

13852532166201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13852532166201 in words is "thirteen trillion, eight hundred fifty-two billion, five hundred thirty-two million, one hundred sixty-six thousand, two hundred one".