2005124221 has 4 divisors (see below), whose sum is σ = 2011449852. Its totient is φ = 1998798592.

The previous prime is 2005124203. The next prime is 2005124227. The reversal of 2005124221 is 1224215002.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1224215002 = 2 ⋅612107501.

It can be written as a sum of positive squares in 2 ways, for example, as 68244121 + 1936880100 = 8261^2 + 44010^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005124221 - 2¹¹ = 2005122173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005124227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3162340 + ... + 3162973.

It is an arithmetic number, because the mean of its divisors is an integer number (502862463).

Almost surely, 2^2005124221 is an apocalyptic number.

It is an amenable number.

2005124221 is a deficient number, since it is larger than the sum of its proper divisors (6325631).

2005124221 is an equidigital number, since it uses as much as digits as its factorization.

2005124221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325630.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2005124221 is about 44778.6134332005. The cubic root of 2005124221 is about 1260.9961512245.

Adding to 2005124221 its reverse (1224215002), we get a palindrome (3229339223).

The spelling of 2005124221 in words is "two billion, five million, one hundred twenty-four thousand, two hundred twenty-one".