10042042249 has 2 divisors, whose sum is σ = 10042042250. Its totient is φ = 10042042248.

The previous prime is 10042042247. The next prime is 10042042267. The reversal of 10042042249 is 94224024001.

10042042249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9913786624 + 128255625 = 99568^2 + 11325^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042042249 - 2¹ = 10042042247 is a prime.

It is a super-2 number, since 2×10042042249² (a number of 21 digits) contains 22 as substring.

Together with 10042042247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10042042243) 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, 5021021124 + 5021021125.

It is an arithmetic number, because the mean of its divisors is an integer number (5021021125).

Almost surely, 2^10042042249 is an apocalyptic number.

It is an amenable number.

10042042249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042042249 is an equidigital number, since it uses as much as digits as its factorization.

10042042249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 10042042249 in words is "ten billion, forty-two million, forty-two thousand, two hundred forty-nine".