2205300812641 has 2 divisors, whose sum is σ = 2205300812642. Its totient is φ = 2205300812640.

The previous prime is 2205300812581. The next prime is 2205300812669. The reversal of 2205300812641 is 1462180035022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1983534224400 + 221766588241 = 1408380^2 + 470921^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205300812641 - 2¹³ = 2205300804449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2205300812597 and 2205300812606.

It is not a weakly prime, because it can be changed into another prime (2205300810641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102650406320 + 1102650406321.

It is an arithmetic number, because the mean of its divisors is an integer number (1102650406321).

Almost surely, 2^{2205300812641} is an apocalyptic number.

It is an amenable number.

2205300812641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205300812641 is an equidigital number, since it uses as much as digits as its factorization.

2205300812641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 2205300812641 its reverse (1462180035022), we get a palindrome (3667480847663).

The spelling of 2205300812641 in words is "two trillion, two hundred five billion, three hundred million, eight hundred twelve thousand, six hundred forty-one".