4004242013 has 2 divisors, whose sum is σ = 4004242014. Its totient is φ = 4004242012.

The previous prime is 4004241973. The next prime is 4004242037. The reversal of 4004242013 is 3102424004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3976815844 + 27426169 = 63062^2 + 5237^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004242013 - 2⁸ = 4004241757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004242043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002121006 + 2002121007.

It is an arithmetic number, because the mean of its divisors is an integer number (2002121007).

Almost surely, 2^4004242013 is an apocalyptic number.

It is an amenable number.

4004242013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004242013 is an equidigital number, since it uses as much as digits as its factorization.

4004242013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4004242013 is about 63279.0803741647. The cubic root of 4004242013 is about 1587.9620017101.

Adding to 4004242013 its reverse (3102424004), we get a palindrome (7106666017).

The spelling of 4004242013 in words is "four billion, four million, two hundred forty-two thousand, thirteen".