1053755120 has 120 divisors (see below), whose sum is σ = 2810632608. Its totient is φ = 366446080.

The previous prime is 1053755099. The next prime is 1053755141. The reversal of 1053755120 is 215573501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1053755099) and next prime (1053755141).

It is a super-2 number, since 2×1053755120² = 2220799705852428800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 220274 + ... + 225006.

Almost surely, 2^1053755120 is an apocalyptic number.

1053755120 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 1053755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405316304).

1053755120 is an abundant number, since it is smaller than the sum of its proper divisors (1756877488).

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

1053755120 is a wasteful number, since it uses less digits than its factorization.

1053755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 1053755120 is about 32461.5945387777. The cubic root of 1053755120 is about 1017.6065629810.

The spelling of 1053755120 in words is "one billion, fifty-three million, seven hundred fifty-five thousand, one hundred twenty".