2005364461 has 2 divisors, whose sum is σ = 2005364462. Its totient is φ = 2005364460.

The previous prime is 2005364437. The next prime is 2005364477. The reversal of 2005364461 is 1644635002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1954170436 + 51194025 = 44206^2 + 7155^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005364461 - 2¹⁵ = 2005331693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005364401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002682230 + 1002682231.

It is an arithmetic number, because the mean of its divisors is an integer number (1002682231).

Almost surely, 2^2005364461 is an apocalyptic number.

It is an amenable number.

2005364461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005364461 is an equidigital number, since it uses as much as digits as its factorization.

2005364461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2005364461 is about 44781.2958834378. The cubic root of 2005364461 is about 1261.0465104682.

Adding to 2005364461 its reverse (1644635002), we get a palindrome (3649999463).

The spelling of 2005364461 in words is "two billion, five million, three hundred sixty-four thousand, four hundred sixty-one".