11007628249 has 2 divisors, whose sum is σ = 11007628250. Its totient is φ = 11007628248.

The previous prime is 11007628237. The next prime is 11007628327. The reversal of 11007628249 is 94282670011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8202019225 + 2805609024 = 90565^2 + 52968^2 .

It is an emirp because it is prime and its reverse (94282670011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11007628249 - 2⁹ = 11007627737 is a prime.

It is not a weakly prime, because it can be changed into another prime (11007620249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503814124 + 5503814125.

It is an arithmetic number, because the mean of its divisors is an integer number (5503814125).

Almost surely, 2^11007628249 is an apocalyptic number.

It is an amenable number.

11007628249 is a deficient number, since it is larger than the sum of its proper divisors (1).

11007628249 is an equidigital number, since it uses as much as digits as its factorization.

11007628249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 40.

It can be divided in two parts, 1100762 and 8249, that added together give a palindrome (1109011).

The spelling of 11007628249 in words is "eleven billion, seven million, six hundred twenty-eight thousand, two hundred forty-nine".