1305323352320 has 144 divisors (see below), whose sum is σ = 3483280024560. Its totient is φ = 465345871872.

The previous prime is 1305323352317. The next prime is 1305323352329. The reversal of 1305323352320 is 232533235031.

It can be written as a sum of positive squares in 8 ways, for example, as 346459377664 + 958863974656 = 588608^2 + 979216^2 .

It is a super-2 number, since 2×1305323352320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1305323352329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869939 + ... + 1835058.

It is an arithmetic number, because the mean of its divisors is an integer number (24189444615).

Almost surely, 2^{1305323352320} is an apocalyptic number.

1305323352320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305323352320 is an abundant number, since it is smaller than the sum of its proper divisors (2177956672240).

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

1305323352320 is a wasteful number, since it uses less digits than its factorization.

1305323352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705060 (or 2705046 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 32.

Adding to 1305323352320 its reverse (232533235031), we get a palindrome (1537856587351).

The spelling of 1305323352320 in words is "one trillion, three hundred five billion, three hundred twenty-three million, three hundred fifty-two thousand, three hundred twenty".