2004020257 has 2 divisors, whose sum is σ = 2004020258. Its totient is φ = 2004020256.

The previous prime is 2004020201. The next prime is 2004020267. The reversal of 2004020257 is 7520204002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1904798736 + 99221521 = 43644^2 + 9961^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004020257 - 2¹¹ = 2004018209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2004020267) 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, 1002010128 + 1002010129.

It is an arithmetic number, because the mean of its divisors is an integer number (1002010129).

Almost surely, 2^2004020257 is an apocalyptic number.

It is an amenable number.

2004020257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004020257 is an equidigital number, since it uses as much as digits as its factorization.

2004020257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2004020257 is about 44766.2848246311. The cubic root of 2004020257 is about 1260.7646859449.

Adding to 2004020257 its reverse (7520204002), we get a palindrome (9524224259).

The spelling of 2004020257 in words is "two billion, four million, twenty thousand, two hundred fifty-seven".