257454121 has 2 divisors, whose sum is σ = 257454122. Its totient is φ = 257454120.

The previous prime is 257454107. The next prime is 257454139. The reversal of 257454121 is 121454752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229098496 + 28355625 = 15136^2 + 5325^2 .

It is a cyclic number.

It is not a de Polignac number, because 257454121 - 2¹⁹ = 256929833 is a prime.

It is not a weakly prime, because it can be changed into another prime (257452121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128727060 + 128727061.

It is an arithmetic number, because the mean of its divisors is an integer number (128727061).

Almost surely, 2^257454121 is an apocalyptic number.

It is an amenable number.

257454121 is a deficient number, since it is larger than the sum of its proper divisors (1).

257454121 is an equidigital number, since it uses as much as digits as its factorization.

257454121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11200, while the sum is 31.

The square root of 257454121 is about 16045.3769354291. The cubic root of 257454121 is about 636.1603772929.

The spelling of 257454121 in words is "two hundred fifty-seven million, four hundred fifty-four thousand, one hundred twenty-one".