1053338688 has 56 divisors (see below), whose sum is σ = 3096625760. Its totient is φ = 351112320.

The previous prime is 1053338687. The next prime is 1053338719. The reversal of 1053338688 is 8868333501.

1053338688 is a `hidden beast` number, since 1 + 0 + 533 + 38 + 6 + 88 = 666.

It is a super-2 number, since 2×1053338688² = 2219044783275122688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053338687) 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 7 ways as a sum of consecutive naturals, for example, 303058 + ... + 306513.

Almost surely, 2^1053338688 is an apocalyptic number.

1053338688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1053338688 is an abundant number, since it is smaller than the sum of its proper divisors (2043287072).

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

1053338688 is an equidigital number, since it uses as much as digits as its factorization.

1053338688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609592 (or 609576 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1053338688 is about 32455.1796790589. The cubic root of 1053338688 is about 1017.4724964846.

The spelling of 1053338688 in words is "one billion, fifty-three million, three hundred thirty-eight thousand, six hundred eighty-eight".