2005585921 has 2 divisors, whose sum is σ = 2005585922. Its totient is φ = 2005585920.

The previous prime is 2005585913. The next prime is 2005585937. The reversal of 2005585921 is 1295855002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1878008896 + 127577025 = 43336^2 + 11295^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005585921 - 2³ = 2005585913 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005585961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002792960 + 1002792961.

It is an arithmetic number, because the mean of its divisors is an integer number (1002792961).

Almost surely, 2^2005585921 is an apocalyptic number.

It is an amenable number.

2005585921 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005585921 is an equidigital number, since it uses as much as digits as its factorization.

2005585921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 37.

The square root of 2005585921 is about 44783.7684993123. The cubic root of 2005585921 is about 1261.0929294751.

The spelling of 2005585921 in words is "two billion, five million, five hundred eighty-five thousand, nine hundred twenty-one".