42004013 has 2 divisors, whose sum is σ = 42004014. Its totient is φ = 42004012.

The previous prime is 42004009. The next prime is 42004069. The reversal of 42004013 is 31040024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39967684 + 2036329 = 6322^2 + 1427^2 .

It is a cyclic number.

It is not a de Polignac number, because 42004013 - 2² = 42004009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42004073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21002006 + 21002007.

It is an arithmetic number, because the mean of its divisors is an integer number (21002007).

Almost surely, 2^42004013 is an apocalyptic number.

It is an amenable number.

42004013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42004013 is an equidigital number, since it uses as much as digits as its factorization.

42004013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 42004013 is about 6481.0503006843. The cubic root of 42004013 is about 347.6137350051.

Adding to 42004013 its reverse (31040024), we get a palindrome (73044037).

The spelling of 42004013 in words is "forty-two million, four thousand, thirteen".