2005135342211 has 2 divisors, whose sum is σ = 2005135342212. Its totient is φ = 2005135342210.

The previous prime is 2005135342139. The next prime is 2005135342303. The reversal of 2005135342211 is 1122435315002.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2005135342211 - 2²⁶ = 2005068233347 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (2005135348211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002567671105 + 1002567671106.

It is an arithmetic number, because the mean of its divisors is an integer number (1002567671106).

Almost surely, 2^{2005135342211} is an apocalyptic number.

2005135342211 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005135342211 is an equidigital number, since it uses as much as digits as its factorization.

2005135342211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 2005135342211 in words is "two trillion, five billion, one hundred thirty-five million, three hundred forty-two thousand, two hundred eleven".