2205051050401 has 2 divisors, whose sum is σ = 2205051050402. Its totient is φ = 2205051050400.

The previous prime is 2205051050387. The next prime is 2205051050437. The reversal of 2205051050401 is 1040501505022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1315517241600 + 889533808801 = 1146960^2 + 943151^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205051050401 - 2¹⁵ = 2205051017633 is a prime.

It is not a weakly prime, because it can be changed into another prime (2205051050801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102525525200 + 1102525525201.

It is an arithmetic number, because the mean of its divisors is an integer number (1102525525201).

Almost surely, 2^{2205051050401} is an apocalyptic number.

It is an amenable number.

2205051050401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205051050401 is an equidigital number, since it uses as much as digits as its factorization.

2205051050401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 2205051050401 its reverse (1040501505022), we get a palindrome (3245552555423).

The spelling of 2205051050401 in words is "two trillion, two hundred five billion, fifty-one million, fifty thousand, four hundred one".