1305389568 has 160 divisors (see below), whose sum is σ = 4003743744. Its totient is φ = 370225152.

The previous prime is 1305389551. The next prime is 1305389581. The reversal of 1305389568 is 8659835031.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1795221 + ... + 1795947.

Almost surely, 2^1305389568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305389568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001871872).

1305389568 is an abundant number, since it is smaller than the sum of its proper divisors (2698354176).

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

1305389568 is an equidigital number, since it uses as much as digits as its factorization.

1305389568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 1305389568 is about 36130.1753109503. The cubic root of 1305389568 is about 1092.8990435910.

The spelling of 1305389568 in words is "one billion, three hundred five million, three hundred eighty-nine thousand, five hundred sixty-eight".