1053132304 has 135 divisors (see below), whose sum is σ = 2546817741. Its totient is φ = 420577920.

The previous prime is 1053132277. The next prime is 1053132373. The reversal of 1053132304 is 4032313501.

The square root of 1053132304 is 32452.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34245904 + 1018886400 = 5852^2 + 31920^2 .

It is a super-2 number, since 2×1053132304² = 2218175299456696832, which contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 17264434 + ... + 17264494.

Almost surely, 2^1053132304 is an apocalyptic number.

1053132304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1053132304 is the 32452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053132304

1053132304 is an abundant number, since it is smaller than the sum of its proper divisors (1493685437).

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

1053132304 is an equidigital number, since it uses as much as digits as its factorization.

1053132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The cubic root of 1053132304 is about 1017.4060399364.

Adding to 1053132304 its reverse (4032313501), we get a palindrome (5085445805).

The spelling of 1053132304 in words is "one billion, fifty-three million, one hundred thirty-two thousand, three hundred four".