2153505321 has 24 divisors (see below), whose sum is σ = 3431544480. Its totient is φ = 1290484800.

The previous prime is 2153505313. The next prime is 2153505337. The reversal of 2153505321 is 1235053512.

It is a happy number.

2153505321 is a `hidden beast` number, since 2 + 153 + 505 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 2153505321 - 2³ = 2153505313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2153505371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113395 + ... + 131016.

It is an arithmetic number, because the mean of its divisors is an integer number (142981020).

Almost surely, 2^2153505321 is an apocalyptic number.

It is an amenable number.

2153505321 is a deficient number, since it is larger than the sum of its proper divisors (1278039159).

2153505321 is a wasteful number, since it uses less digits than its factorization.

2153505321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244517 (or 244514 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2153505321 is about 46405.8759318257. The cubic root of 2153505321 is about 1291.3639242719.

Adding to 2153505321 its reverse (1235053512), we get a palindrome (3388558833).

The spelling of 2153505321 in words is "two billion, one hundred fifty-three million, five hundred five thousand, three hundred twenty-one".