2852217700201 has 9 divisors (see below), whose sum is σ = 2914275466711. Its totient is φ = 2791454530072.

The previous prime is 2852217700193. The next prime is 2852217700219. The reversal of 2852217700201 is 1020077122582.

The square root of 2852217700201 is 1688851.

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

2852217700201 is digitally balanced in base 2, 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 only one way, i.e., 2030069288025 + 822148412176 = 1424805^2 + 906724^2 .

It is not a de Polignac number, because 2852217700201 - 2³ = 2852217700193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2852217700261) 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, 79358031 + ... + 79393963.

Almost surely, 2^{2852217700201} is an apocalyptic number.

2852217700201 is the 1688851-st square number.

2852217700201 is the 844426-th centered octagonal number.

It is an amenable number.

2852217700201 is a deficient number, since it is larger than the sum of its proper divisors (62057766510).

2852217700201 is an frugal number, since it uses more digits than its factorization.

2852217700201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71960 (or 35980 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The spelling of 2852217700201 in words is "two trillion, eight hundred fifty-two billion, two hundred seventeen million, seven hundred thousand, two hundred one".