257066113 has 2 divisors, whose sum is σ = 257066114. Its totient is φ = 257066112.

The previous prime is 257066107. The next prime is 257066177. The reversal of 257066113 is 311660752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222397569 + 34668544 = 14913^2 + 5888^2 .

It is a cyclic number.

It is not a de Polignac number, because 257066113 - 2⁵ = 257066081 is a prime.

It is not a weakly prime, because it can be changed into another prime (257066413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128533056 + 128533057.

It is an arithmetic number, because the mean of its divisors is an integer number (128533057).

Almost surely, 2^257066113 is an apocalyptic number.

It is an amenable number.

257066113 is a deficient number, since it is larger than the sum of its proper divisors (1).

257066113 is an equidigital number, since it uses as much as digits as its factorization.

257066113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 257066113 is about 16033.2814171024. The cubic root of 257066113 is about 635.8406317526.

The spelling of 257066113 in words is "two hundred fifty-seven million, sixty-six thousand, one hundred thirteen".