1305304032 has 48 divisors (see below), whose sum is σ = 3433283280. Its totient is φ = 434230272.

The previous prime is 1305303991. The next prime is 1305304037. The reversal of 1305304032 is 2304035031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305304037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35508 + ... + 62220.

It is an arithmetic number, because the mean of its divisors is an integer number (71526735).

Almost surely, 2^1305304032 is an apocalyptic number.

1305304032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305304032 is an abundant number, since it is smaller than the sum of its proper divisors (2127979248).

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

1305304032 is a wasteful number, since it uses less digits than its factorization.

1305304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27235 (or 27227 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 1305304032 is about 36128.9915718665. The cubic root of 1305304032 is about 1092.8751722357.

Adding to 1305304032 its reverse (2304035031), we get a palindrome (3609339063).

The spelling of 1305304032 in words is "one billion, three hundred five million, three hundred four thousand, thirty-two".