1305500505132 has 48 divisors (see below), whose sum is σ = 3130316374752. Its totient is φ = 423159298560.

The previous prime is 1305500505131. The next prime is 1305500505143. The reversal of 1305500505132 is 2315050055031.

It is a super-3 number, since 3×1305500505132³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1305500505132.

It is not an unprimeable number, because it can be changed into a prime (1305500505131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90123 + ... + 1618370.

It is an arithmetic number, because the mean of its divisors is an integer number (65214924474).

Almost surely, 2^{1305500505132} is an apocalyptic number.

1305500505132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305500505132 is an abundant number, since it is smaller than the sum of its proper divisors (1824815869620).

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

1305500505132 is a wasteful number, since it uses less digits than its factorization.

1305500505132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710258 (or 1710256 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 1305500505132 in words is "one trillion, three hundred five billion, five hundred million, five hundred five thousand, one hundred thirty-two".