1053144320 has 108 divisors (see below), whose sum is σ = 2596944924. Its totient is φ = 409190400.

The previous prime is 1053144319. The next prime is 1053144341. The reversal of 1053144320 is 234413501.

It can be written as a sum of positive squares in 6 ways, for example, as 308072704 + 745071616 = 17552^2 + 27296^2 .

It is a super-2 number, since 2×1053144320² = 2218225917496524800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1752020 + ... + 1752620.

Almost surely, 2^1053144320 is an apocalyptic number.

1053144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298472462).

1053144320 is an abundant number, since it is smaller than the sum of its proper divisors (1543800604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053144320 is an frugal number, since it uses more digits than its factorization.

1053144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1053144320 is about 32452.1851344405. The cubic root of 1053144320 is about 1017.4099093789.

Adding to 1053144320 its reverse (234413501), we get a palindrome (1287557821).

The spelling of 1053144320 in words is "one billion, fifty-three million, one hundred forty-four thousand, three hundred twenty".