2005501305311 has 4 divisors (see below), whose sum is σ = 2292001491792. Its totient is φ = 1719001118832.

The previous prime is 2005501305287. The next prime is 2005501305317. The reversal of 2005501305311 is 1135031055002.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005501305311 is a prime.

It is a Duffinian number.

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 (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143250093230 + ... + 143250093243.

It is an arithmetic number, because the mean of its divisors is an integer number (573000372948).

Almost surely, 2^{2005501305311} is an apocalyptic number.

2005501305311 is a deficient number, since it is larger than the sum of its proper divisors (286500186481).

2005501305311 is an equidigital number, since it uses as much as digits as its factorization.

2005501305311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286500186480.

The product of its (nonzero) digits is 2250, while the sum is 26.

The spelling of 2005501305311 in words is "two trillion, five billion, five hundred one million, three hundred five thousand, three hundred eleven".