249600257 has 2 divisors, whose sum is σ = 249600258. Its totient is φ = 249600256.

The previous prime is 249600229. The next prime is 249600271. The reversal of 249600257 is 752006942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200052736 + 49547521 = 14144^2 + 7039^2 .

It is a cyclic number.

It is not a de Polignac number, because 249600257 - 2⁶ = 249600193 is a prime.

It is not a weakly prime, because it can be changed into another prime (249600277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124800128 + 124800129.

It is an arithmetic number, because the mean of its divisors is an integer number (124800129).

Almost surely, 2^249600257 is an apocalyptic number.

It is an amenable number.

249600257 is a deficient number, since it is larger than the sum of its proper divisors (1).

249600257 is an equidigital number, since it uses as much as digits as its factorization.

249600257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 249600257 is about 15798.7422600661. The cubic root of 249600257 is about 629.6245827495.

The spelling of 249600257 in words is "two hundred forty-nine million, six hundred thousand, two hundred fifty-seven".