257925097 has 2 divisors, whose sum is σ = 257925098. Its totient is φ = 257925096.

The previous prime is 257925091. The next prime is 257925103. The reversal of 257925097 is 790529752.

It is a balanced prime because it is at equal distance from previous prime (257925091) and next prime (257925103).

It can be written as a sum of positive squares in only one way, i.e., 173817856 + 84107241 = 13184^2 + 9171^2 .

It is a cyclic number.

It is not a de Polignac number, because 257925097 - 2³ = 257925089 is a prime.

It is not a weakly prime, because it can be changed into another prime (257925091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128962548 + 128962549.

It is an arithmetic number, because the mean of its divisors is an integer number (128962549).

Almost surely, 2^257925097 is an apocalyptic number.

It is an amenable number.

257925097 is a deficient number, since it is larger than the sum of its proper divisors (1).

257925097 is an equidigital number, since it uses as much as digits as its factorization.

257925097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 257925097 is about 16060.0466064081. The cubic root of 257925097 is about 636.5480628765.

The spelling of 257925097 in words is "two hundred fifty-seven million, nine hundred twenty-five thousand, ninety-seven".