249752249 has 2 divisors, whose sum is σ = 249752250. Its totient is φ = 249752248.

The previous prime is 249752171. The next prime is 249752273. The reversal of 249752249 is 942257942.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130942249 + 118810000 = 11443^2 + 10900^2 .

It is a cyclic number.

It is not a de Polignac number, because 249752249 - 2⁸ = 249751993 is a prime.

It is not a weakly prime, because it can be changed into another prime (249752149) 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, 124876124 + 124876125.

It is an arithmetic number, because the mean of its divisors is an integer number (124876125).

Almost surely, 2^249752249 is an apocalyptic number.

It is an amenable number.

249752249 is a deficient number, since it is larger than the sum of its proper divisors (1).

249752249 is an equidigital number, since it uses as much as digits as its factorization.

249752249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 44.

The square root of 249752249 is about 15803.5517843300. The cubic root of 249752249 is about 629.7523583676.

The spelling of 249752249 in words is "two hundred forty-nine million, seven hundred fifty-two thousand, two hundred forty-nine".