10042579 has 2 divisors, whose sum is σ = 10042580. Its totient is φ = 10042578.

The previous prime is 10042553. The next prime is 10042601. The reversal of 10042579 is 97524001.

It is a happy number.

10042579 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10042579 - 2¹⁹ = 9518291 is a prime.

It is equal to p₆₆₇₂₃₄ and since 10042579 and 667234 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10042379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021289 + 5021290.

It is an arithmetic number, because the mean of its divisors is an integer number (5021290).

Almost surely, 2^10042579 is an apocalyptic number.

10042579 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042579 is an equidigital number, since it uses as much as digits as its factorization.

10042579 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10042579 is about 3169.0028400113. The cubic root of 10042579 is about 215.7488149504.

The spelling of 10042579 in words is "ten million, forty-two thousand, five hundred seventy-nine".