2153238409 has 15 divisors (see below), whose sum is σ = 2514617357. Its totient is φ = 1843683996.

The previous prime is 2153238397. The next prime is 2153238419. The reversal of 2153238409 is 9048323512.

The square root of 2153238409 is 46403.

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

It is not a de Polignac number, because 2153238409 - 2⁷ = 2153238281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2153238419) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2273274 + ... + 2274220.

Almost surely, 2^2153238409 is an apocalyptic number.

2153238409 is the 46403-rd square number.

2153238409 is the 23202-nd centered octagonal number.

It is an amenable number.

2153238409 is a deficient number, since it is larger than the sum of its proper divisors (361378948).

2153238409 is an frugal number, since it uses more digits than its factorization.

2153238409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The cubic root of 2153238409 is about 1291.3105702099.

The spelling of 2153238409 in words is "two billion, one hundred fifty-three million, two hundred thirty-eight thousand, four hundred nine".