2005525729 has 2 divisors, whose sum is σ = 2005525730. Its totient is φ = 2005525728.

The previous prime is 2005525727. The next prime is 2005525759. The reversal of 2005525729 is 9275255002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1973580625 + 31945104 = 44425^2 + 5652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005525729 - 2¹ = 2005525727 is a prime.

Together with 2005525727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2005525727) 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, 1002762864 + 1002762865.

It is an arithmetic number, because the mean of its divisors is an integer number (1002762865).

Almost surely, 2^2005525729 is an apocalyptic number.

It is an amenable number.

2005525729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005525729 is an equidigital number, since it uses as much as digits as its factorization.

2005525729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 2005525729 is about 44783.0964650726. The cubic root of 2005525729 is about 1261.0803133007.

The spelling of 2005525729 in words is "two billion, five million, five hundred twenty-five thousand, seven hundred twenty-nine".