1053550320 has 160 divisors (see below), whose sum is σ = 3336453120. Its totient is φ = 274959360.

The previous prime is 1053550319. The next prime is 1053550331. The reversal of 1053550320 is 230553501.

1053550320 = T₃₉ + T₄₀ + ... + T₁₈₄₈.

It is a super-2 number, since 2×1053550320² = 2219936553544204800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3431607 + ... + 3431913.

It is an arithmetic number, because the mean of its divisors is an integer number (20852832).

Almost surely, 2^1053550320 is an apocalyptic number.

1053550320 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 1053550320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668226560).

1053550320 is an abundant number, since it is smaller than the sum of its proper divisors (2282902800).

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

1053550320 is a wasteful number, since it uses less digits than its factorization.

1053550320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 1053550320 is about 32458.4398885714. The cubic root of 1053550320 is about 1017.5406338978.

The spelling of 1053550320 in words is "one billion, fifty-three million, five hundred fifty thousand, three hundred twenty".