2133608481 has 27 divisors (see below), whose sum is σ = 3135016729. Its totient is φ = 1398293952.

The previous prime is 2133608453. The next prime is 2133608497. The reversal of 2133608481 is 1848063312.

The square root of 2133608481 is 46191.

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

2133608481 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 608 + 48 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46580625 + 2087027856 = 6825^2 + 45684^2 .

It is not a de Polignac number, because 2133608481 - 2⁷ = 2133608353 is a prime.

It is a super-2 number, since 2×2133608481² = 9104570300390254722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2133608431) 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, 12332911 + ... + 12333083.

Almost surely, 2^2133608481 is an apocalyptic number.

2133608481 is the 46191-st square number.

2133608481 is the 23096-th centered octagonal number.

It is an amenable number.

2133608481 is a deficient number, since it is larger than the sum of its proper divisors (1001408248).

2133608481 is an frugal number, since it uses more digits than its factorization.

2133608481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 2133608481 is about 1287.3745212932.

Multiplying 2133608481 by its sum of digits (36), we get a square (76809905316 = 277146²).

It can be divided in two parts, 213360 and 8481, that added together give a square (221841 = 471²).

The spelling of 2133608481 in words is "two billion, one hundred thirty-three million, six hundred eight thousand, four hundred eighty-one".