1305320320 has 64 divisors (see below), whose sum is σ = 3127442400. Its totient is φ = 520972288.

The previous prime is 1305320309. The next prime is 1305320323. The reversal of 1305320320 is 230235031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1305320320² = 3407722275609804800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305320323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323757 + ... + 327763.

Almost surely, 2^1305320320 is an apocalyptic number.

1305320320 is a gapful number since it is divisible by the number (10) 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 1305320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563721200).

1305320320 is an abundant number, since it is smaller than the sum of its proper divisors (1822122080).

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

1305320320 is an equidigital number, since it uses as much as digits as its factorization.

1305320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 1305320320 is about 36129.2169857029. The cubic root of 1305320320 is about 1092.8797179651.

Adding to 1305320320 its reverse (230235031), we get a palindrome (1535555351).

The spelling of 1305320320 in words is "one billion, three hundred five million, three hundred twenty thousand, three hundred twenty".