257745121 has 2 divisors, whose sum is σ = 257745122. Its totient is φ = 257745120.

The previous prime is 257745113. The next prime is 257745149. The reversal of 257745121 is 121547752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220106896 + 37638225 = 14836^2 + 6135^2 .

It is a cyclic number.

It is not a de Polignac number, because 257745121 - 2³ = 257745113 is a prime.

It is not a weakly prime, because it can be changed into another prime (257745161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128872560 + 128872561.

It is an arithmetic number, because the mean of its divisors is an integer number (128872561).

Almost surely, 2^257745121 is an apocalyptic number.

It is an amenable number.

257745121 is a deficient number, since it is larger than the sum of its proper divisors (1).

257745121 is an equidigital number, since it uses as much as digits as its factorization.

257745121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19600, while the sum is 34.

The square root of 257745121 is about 16054.4424070100. The cubic root of 257745121 is about 636.3999707460.

The spelling of 257745121 in words is "two hundred fifty-seven million, seven hundred forty-five thousand, one hundred twenty-one".