257200249 has 2 divisors, whose sum is σ = 257200250. Its totient is φ = 257200248.

The previous prime is 257200247. The next prime is 257200271. The reversal of 257200249 is 942002752.

257200249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195860025 + 61340224 = 13995^2 + 7832^2 .

It is a cyclic number.

It is not a de Polignac number, because 257200249 - 2¹ = 257200247 is a prime.

Together with 257200247, it forms a pair of twin primes.

It is equal to p_14051389 and since 257200249 and 14051389 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257200249.

It is not a weakly prime, because it can be changed into another prime (257200247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128600124 + 128600125.

It is an arithmetic number, because the mean of its divisors is an integer number (128600125).

Almost surely, 2^257200249 is an apocalyptic number.

It is an amenable number.

257200249 is a deficient number, since it is larger than the sum of its proper divisors (1).

257200249 is an equidigital number, since it uses as much as digits as its factorization.

257200249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 257200249 is about 16037.4639204582. The cubic root of 257200249 is about 635.9512054980.

The spelling of 257200249 in words is "two hundred fifty-seven million, two hundred thousand, two hundred forty-nine".