2005525005301 has 2 divisors, whose sum is σ = 2005525005302. Its totient is φ = 2005525005300.

The previous prime is 2005525005223. The next prime is 2005525005347. The reversal of 2005525005301 is 1035005255002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1874626488900 + 130898516401 = 1369170^2 + 361799^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005525005301 - 2⁷ = 2005525005173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2005525005301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005525005391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002762502650 + 1002762502651.

It is an arithmetic number, because the mean of its divisors is an integer number (1002762502651).

Almost surely, 2^{2005525005301} is an apocalyptic number.

It is an amenable number.

2005525005301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005525005301 is an equidigital number, since it uses as much as digits as its factorization.

2005525005301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7500, while the sum is 28.

The spelling of 2005525005301 in words is "two trillion, five billion, five hundred twenty-five million, five thousand, three hundred one".