1053083360 has 384 divisors, whose sum is σ = 3292047360. Its totient is φ = 309657600.

The previous prime is 1053083357. The next prime is 1053083371. The reversal of 1053083360 is 633803501.

1053083360 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 2×1053083360² = 2217969126217779200, 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 63 ways as a sum of consecutive naturals, for example, 14832125 + ... + 14832195.

It is an arithmetic number, because the mean of its divisors is an integer number (8573040).

Almost surely, 2^1053083360 is an apocalyptic number.

1053083360 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 1053083360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646023680).

1053083360 is an abundant number, since it is smaller than the sum of its proper divisors (2238964000).

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

1053083360 is a wasteful number, since it uses less digits than its factorization.

1053083360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 1053083360 is about 32451.2458928775. The cubic root of 1053083360 is about 1017.3902784813.

Adding to 1053083360 its reverse (633803501), we get a palindrome (1686886861).

The spelling of 1053083360 in words is "one billion, fifty-three million, eighty-three thousand, three hundred sixty".