1305141082752 has 64 divisors (see below), whose sum is σ = 3733456476960. Its totient is φ = 401581870080.

The previous prime is 1305141082733. The next prime is 1305141082793. The reversal of 1305141082752 is 2572801415031.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1305141082752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130718274 + ... + 130728257.

Almost surely, 2^{1305141082752} is an apocalyptic number.

1305141082752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305141082752 is an abundant number, since it is smaller than the sum of its proper divisors (2428315394208).

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

1305141082752 is a wasteful number, since it uses less digits than its factorization.

1305141082752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261446561 (or 261446549 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

Adding to 1305141082752 its reverse (2572801415031), we get a palindrome (3877942497783).

The spelling of 1305141082752 in words is "one trillion, three hundred five billion, one hundred forty-one million, eighty-two thousand, seven hundred fifty-two".