1005130304 has 28 divisors (see below), whose sum is σ = 2111884524. Its totient is φ = 473001984.

The previous prime is 1005130277. The next prime is 1005130307. The reversal of 1005130304 is 4030315001.

It can be written as a sum of positive squares in 2 ways, for example, as 731161600 + 273968704 = 27040^2 + 16552^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1005130307) 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 3 ways as a sum of consecutive naturals, for example, 460829 + ... + 463004.

Almost surely, 2^1005130304 is an apocalyptic number.

It is an amenable number.

1005130304 is an abundant number, since it is smaller than the sum of its proper divisors (1106754220).

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

1005130304 is an equidigital number, since it uses as much as digits as its factorization.

1005130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923862 (or 923852 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1005130304 is about 31703.7900573417. The cubic root of 1005130304 is about 1001.7071851935.

Adding to 1005130304 its reverse (4030315001), we get a palindrome (5035445305).

The spelling of 1005130304 in words is "one billion, five million, one hundred thirty thousand, three hundred four".