2005006218401 has 4 divisors (see below), whose sum is σ = 2005365995412. Its totient is φ = 2004646441392.

The previous prime is 2005006218367. The next prime is 2005006218409. The reversal of 2005006218401 is 1048126005002.

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

It can be written as a sum of positive squares in 2 ways, for example, as 109427978401 + 1895578240000 = 330799^2 + 1376800^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005006218401 - 2²² = 2005002024097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005006218409) 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, 179880146 + ... + 179891291.

It is an arithmetic number, because the mean of its divisors is an integer number (501341498853).

Almost surely, 2^{2005006218401} is an apocalyptic number.

It is an amenable number.

2005006218401 is a deficient number, since it is larger than the sum of its proper divisors (359777011).

2005006218401 is an equidigital number, since it uses as much as digits as its factorization.

2005006218401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359777010.

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 2005006218401 in words is "two trillion, five billion, six million, two hundred eighteen thousand, four hundred one".