1053441312 has 384 divisors, whose sum is σ = 3730987008. Its totient is φ = 251904000.

The previous prime is 1053441299. The next prime is 1053441407. The reversal of 1053441312 is 2131443501.

It is a happy number.

1053441312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053441312² = 2219477195656562688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10430062 + ... + 10430162.

It is an arithmetic number, because the mean of its divisors is an integer number (9716112).

Almost surely, 2^1053441312 is an apocalyptic number.

1053441312 is a gapful number since it is divisible by the number (12) 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 1053441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865493504).

1053441312 is an abundant number, since it is smaller than the sum of its proper divisors (2677545696).

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

1053441312 is a wasteful number, since it uses less digits than its factorization.

1053441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1053441312 is about 32456.7606516732. The cubic root of 1053441312 is about 1017.5055386289.

Adding to 1053441312 its reverse (2131443501), we get a palindrome (3184884813).

The spelling of 1053441312 in words is "one billion, fifty-three million, four hundred forty-one thousand, three hundred twelve".