1305305552000 has 64 divisors (see below), whose sum is σ = 3245315968440. Its totient is φ = 522122214400.

The previous prime is 1305305551999. The next prime is 1305305552051. The reversal of 1305305552000 is 2555035031.

It can be written as a sum of positive squares in 4 ways, for example, as 154285555264 + 1151019996736 = 392792^2 + 1072856^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40774799 + ... + 40806798.

Almost surely, 2^{1305305552000} is an apocalyptic number.

1305305552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305305552000 is an abundant number, since it is smaller than the sum of its proper divisors (1940010416440).

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

1305305552000 is an frugal number, since it uses more digits than its factorization.

1305305552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81581626 (or 81581604 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 29.

The spelling of 1305305552000 in words is "one trillion, three hundred five billion, three hundred five million, five hundred fifty-two thousand".