2005501305312 has 72 divisors (see below), whose sum is σ = 5705465645880. Its totient is φ = 668228340480.

The previous prime is 2005501305287. The next prime is 2005501305317. The reversal of 2005501305312 is 2135031055002.

It is a happy number.

2005501305312 is a `hidden beast` number, since 20 + 0 + 550 + 1 + 30 + 53 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005501305317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 707739 + ... + 2124122.

It is an arithmetic number, because the mean of its divisors is an integer number (79242578415).

Almost surely, 2^{2005501305312} is an apocalyptic number.

It is an amenable number.

2005501305312 is an abundant number, since it is smaller than the sum of its proper divisors (3699964340568).

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

2005501305312 is a wasteful number, since it uses less digits than its factorization.

2005501305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834336 (or 2834325 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 2005501305312 in words is "two trillion, five billion, five hundred one million, three hundred five thousand, three hundred twelve".