1305238222752 has 96 divisors (see below), whose sum is σ = 3501082497024. Its totient is φ = 425587142400.

The previous prime is 1305238222679. The next prime is 1305238222753. The reversal of 1305238222752 is 2572228325031.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1305238222753) 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, 8182477 + ... + 8340467.

It is an arithmetic number, because the mean of its divisors is an integer number (36469609344).

Almost surely, 2^{1305238222752} is an apocalyptic number.

1305238222752 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 1305238222752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750541248512).

1305238222752 is an abundant number, since it is smaller than the sum of its proper divisors (2195844274272).

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

1305238222752 is a wasteful number, since it uses less digits than its factorization.

1305238222752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159882 (or 159874 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 1305238222752 in words is "one trillion, three hundred five billion, two hundred thirty-eight million, two hundred twenty-two thousand, seven hundred fifty-two".