2213165004241 has 27 divisors (see below), whose sum is σ = 2348625891729. Its totient is φ = 2085405306432.

The previous prime is 2213165004227. The next prime is 2213165004247. The reversal of 2213165004241 is 1424005613122.

The square root of 2213165004241 is 1487671.

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

2213165004241 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 4 ways, for example, as 3197337025 + 2209967667216 = 56545^2 + 1486596^2 .

It is not a de Polignac number, because 2213165004241 - 2²¹ = 2213162907089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2213165004247) 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, 1855125141 + ... + 1855126333.

Almost surely, 2^{2213165004241} is an apocalyptic number.

2213165004241 is the 1487671-st square number.

2213165004241 is the 743836-th centered octagonal number.

It is an amenable number.

2213165004241 is a deficient number, since it is larger than the sum of its proper divisors (135460887488).

2213165004241 is an frugal number, since it uses more digits than its factorization.

2213165004241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 2213165004241 in words is "two trillion, two hundred thirteen billion, one hundred sixty-five million, four thousand, two hundred forty-one".