2005638541 has 2 divisors, whose sum is σ = 2005638542. Its totient is φ = 2005638540.

The previous prime is 2005638517. The next prime is 2005638587. The reversal of 2005638541 is 1458365002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1392036100 + 613602441 = 37310^2 + 24771^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005638541 - 2²⁷ = 1871420813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005638497 and 2005638506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005638241) 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, 1002819270 + 1002819271.

It is an arithmetic number, because the mean of its divisors is an integer number (1002819271).

Almost surely, 2^2005638541 is an apocalyptic number.

It is an amenable number.

2005638541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005638541 is an equidigital number, since it uses as much as digits as its factorization.

2005638541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 2005638541 is about 44784.3559850982. The cubic root of 2005638541 is about 1261.1039583601.

The spelling of 2005638541 in words is "two billion, five million, six hundred thirty-eight thousand, five hundred forty-one".