4142005013 has 2 divisors, whose sum is σ = 4142005014. Its totient is φ = 4142005012.

The previous prime is 4142005003. The next prime is 4142005019. The reversal of 4142005013 is 3105002414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3124586404 + 1017418609 = 55898^2 + 31897^2 .

It is a cyclic number.

It is not a de Polignac number, because 4142005013 - 2¹⁰ = 4142003989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4142005019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2071002506 + 2071002507.

It is an arithmetic number, because the mean of its divisors is an integer number (2071002507).

Almost surely, 2^4142005013 is an apocalyptic number.

It is an amenable number.

4142005013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4142005013 is an equidigital number, since it uses as much as digits as its factorization.

4142005013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4142005013 is about 64358.4105847868. The cubic root of 4142005013 is about 1605.9679481379.

Adding to 4142005013 its reverse (3105002414), we get a palindrome (7247007427).

The spelling of 4142005013 in words is "four billion, one hundred forty-two million, five thousand, thirteen".