249616313 has 2 divisors, whose sum is σ = 249616314. Its totient is φ = 249616312.

The previous prime is 249616271. The next prime is 249616343. The reversal of 249616313 is 313616942.

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., 196224064 + 53392249 = 14008^2 + 7307^2 .

It is a cyclic number.

It is not a de Polignac number, because 249616313 - 2⁶ = 249616249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_13659470 and since 249616313 and 13659470 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 (249616343) 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, 124808156 + 124808157.

It is an arithmetic number, because the mean of its divisors is an integer number (124808157).

Almost surely, 2^249616313 is an apocalyptic number.

It is an amenable number.

249616313 is a deficient number, since it is larger than the sum of its proper divisors (1).

249616313 is an equidigital number, since it uses as much as digits as its factorization.

249616313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 35.

The square root of 249616313 is about 15799.2503936105. The cubic root of 249616313 is about 629.6380830502.

The spelling of 249616313 in words is "two hundred forty-nine million, six hundred sixteen thousand, three hundred thirteen".