1053083304 has 144 divisors (see below), whose sum is σ = 3573116820. Its totient is φ = 277724160.

The previous prime is 1053083281. The next prime is 1053083323. The reversal of 1053083304 is 4033803501.

It is a happy number.

1053083304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1043160804 + 9922500 = 32298^2 + 3150^2 .

It is a super-2 number, since 2×1053083304² = 2217968890327112832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34384 + ... + 57344.

Almost surely, 2^1053083304 is an apocalyptic number.

1053083304 is a gapful number since it is divisible by the number (14) 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 1053083304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786558410).

1053083304 is an abundant number, since it is smaller than the sum of its proper divisors (2520033516).

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

1053083304 is a wasteful number, since it uses less digits than its factorization.

1053083304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23000 (or 22986 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1053083304 is about 32451.2450300447. The cubic root of 1053083304 is about 1017.3902604473.

Adding to 1053083304 its reverse (4033803501), we get a palindrome (5086886805).

The spelling of 1053083304 in words is "one billion, fifty-three million, eighty-three thousand, three hundred four".