2253243231 has 64 divisors (see below), whose sum is σ = 3683712000. Its totient is φ = 1361227032.

The previous prime is 2253243199. The next prime is 2253243253. The reversal of 2253243231 is 1323423522.

The cubic root of 2253243231 is 1311.

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

2253243231 is a `hidden beast` number, since 225 + 3 + 2 + 432 + 3 + 1 = 666.

It is not a de Polignac number, because 2253243231 - 2⁵ = 2253243199 is a prime.

It is a super-2 number, since 2×2253243231² = 10154210116094638722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (8640) is a multiple of the sum of its prime divisors (45).

It is a junction number, because it is equal to n+sod(n) for n = 2253243195 and 2253243204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253233231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97967086 + ... + 97967108.

It is an arithmetic number, because the mean of its divisors is an integer number (57558000).

Almost surely, 2^2253243231 is an apocalyptic number.

2253243231 is a deficient number, since it is larger than the sum of its proper divisors (1430468769).

2253243231 is an frugal number, since it uses more digits than its factorization.

2253243231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 45 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 2253243231 is about 47468.3392483874.

Multiplying 2253243231 by its sum of digits (27), we get a cube (60837567237 = 3933³).

2253243231 divided by its sum of digits (27) gives a cube (83453453 = 437³).

Adding to 2253243231 its reverse (1323423522), we get a palindrome (3576666753).

The spelling of 2253243231 in words is "two billion, two hundred fifty-three million, two hundred forty-three thousand, two hundred thirty-one".