2005050004129 has 2 divisors, whose sum is σ = 2005050004130. Its totient is φ = 2005050004128.

The previous prime is 2005050004081. The next prime is 2005050004163. The reversal of 2005050004129 is 9214000505002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1652394557025 + 352655447104 = 1285455^2 + 593848^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005050004129 - 2³¹ = 2002902520481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005050004097 and 2005050004106.

It is not a weakly prime, because it can be changed into another prime (2005050004429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002525002064 + 1002525002065.

It is an arithmetic number, because the mean of its divisors is an integer number (1002525002065).

Almost surely, 2^{2005050004129} is an apocalyptic number.

It is an amenable number.

2005050004129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005050004129 is an equidigital number, since it uses as much as digits as its factorization.

2005050004129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 2005050004129 in words is "two trillion, five billion, fifty million, four thousand, one hundred twenty-nine".