1305068352 has 280 divisors, whose sum is σ = 4268724000. Its totient is φ = 350880768.

The previous prime is 1305068351. The next prime is 1305068357. The reversal of 1305068352 is 2538605031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305068351) 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 39 ways as a sum of consecutive naturals, for example, 8758774 + ... + 8758922.

Almost surely, 2^1305068352 is an apocalyptic number.

1305068352 is a gapful number since it is divisible by the number (12) 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 1305068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134362000).

1305068352 is an abundant number, since it is smaller than the sum of its proper divisors (2963655648).

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

1305068352 is an equidigital number, since it uses as much as digits as its factorization.

1305068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1305068352 is about 36125.7297780958. The cubic root of 1305068352 is about 1092.8093933526.

The spelling of 1305068352 in words is "one billion, three hundred five million, sixty-eight thousand, three hundred fifty-two".