2005044444001 has 2 divisors, whose sum is σ = 2005044444002. Its totient is φ = 2005044444000.

The previous prime is 2005044443977. The next prime is 2005044444017. The reversal of 2005044444001 is 1004444405002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1721871464401 + 283172979600 = 1312201^2 + 532140^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005044444001 - 2¹⁵ = 2005044411233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005044444301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002522222000 + 1002522222001.

It is an arithmetic number, because the mean of its divisors is an integer number (1002522222001).

Almost surely, 2^{2005044444001} is an apocalyptic number.

It is an amenable number.

2005044444001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005044444001 is an equidigital number, since it uses as much as digits as its factorization.

2005044444001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 2005044444001 its reverse (1004444405002), we get a palindrome (3009488849003).

The spelling of 2005044444001 in words is "two trillion, five billion, forty-four million, four hundred forty-four thousand, one".