2839727152201 has 27 divisors (see below), whose sum is σ = 2922569412231. Its totient is φ = 2759222529024.

The previous prime is 2839727152177. The next prime is 2839727152261. The reversal of 2839727152201 is 1022517279382.

The square root of 2839727152201 is 1685149.

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

2839727152201 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., 2795701041225 + 44026110976 = 1672035^2 + 209824^2 .

It is not a de Polignac number, because 2839727152201 - 2¹⁵ = 2839727119433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2839727152261) 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, 11049521865 + ... + 11049522121.

Almost surely, 2^{2839727152201} is an apocalyptic number.

2839727152201 is the 1685149-th square number.

2839727152201 is the 842575-th centered octagonal number.

It is an amenable number.

2839727152201 is a deficient number, since it is larger than the sum of its proper divisors (82842260030).

2839727152201 is an frugal number, since it uses more digits than its factorization.

2839727152201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 2839727152201 by its sum of digits (49), we get a square (139146630457849 = 11796043²).

The spelling of 2839727152201 in words is "two trillion, eight hundred thirty-nine billion, seven hundred twenty-seven million, one hundred fifty-two thousand, two hundred one".