10031000249 has 2 divisors, whose sum is σ = 10031000250. Its totient is φ = 10031000248.

The previous prime is 10031000219. The next prime is 10031000261. The reversal of 10031000249 is 94200013001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5117971600 + 4913028649 = 71540^2 + 70093^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10031000249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10031000249.

It is not a weakly prime, because it can be changed into another prime (10031000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015500124 + 5015500125.

It is an arithmetic number, because the mean of its divisors is an integer number (5015500125).

Almost surely, 2^10031000249 is an apocalyptic number.

It is an amenable number.

10031000249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031000249 is an equidigital number, since it uses as much as digits as its factorization.

10031000249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 10031000249 in words is "ten billion, thirty-one million, two hundred forty-nine", and thus it is an aban number.