257601649 has 2 divisors, whose sum is σ = 257601650. Its totient is φ = 257601648.

The previous prime is 257601623. The next prime is 257601683. The reversal of 257601649 is 946106752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 225961024 + 31640625 = 15032^2 + 5625^2 .

It is a cyclic number.

It is not a de Polignac number, because 257601649 - 2²⁵ = 224047217 is a prime.

It is not a weakly prime, because it can be changed into another prime (257601749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128800824 + 128800825.

It is an arithmetic number, because the mean of its divisors is an integer number (128800825).

Almost surely, 2^257601649 is an apocalyptic number.

It is an amenable number.

257601649 is a deficient number, since it is larger than the sum of its proper divisors (1).

257601649 is an equidigital number, since it uses as much as digits as its factorization.

257601649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 257601649 is about 16049.9734890747. The cubic root of 257601649 is about 636.2818663140.

The spelling of 257601649 in words is "two hundred fifty-seven million, six hundred one thousand, six hundred forty-nine".