257110673 has 2 divisors, whose sum is σ = 257110674. Its totient is φ = 257110672.

The previous prime is 257110657. The next prime is 257110709. The reversal of 257110673 is 376011752.

257110673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211033729 + 46076944 = 14527^2 + 6788^2 .

It is a cyclic number.

It is not a de Polignac number, because 257110673 - 2⁴ = 257110657 is a prime.

It is a super-2 number, since 2×257110673² = 132211796341025858, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257140673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128555336 + 128555337.

It is an arithmetic number, because the mean of its divisors is an integer number (128555337).

Almost surely, 2^257110673 is an apocalyptic number.

It is an amenable number.

257110673 is a deficient number, since it is larger than the sum of its proper divisors (1).

257110673 is an equidigital number, since it uses as much as digits as its factorization.

257110673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 257110673 is about 16034.6709663778. The cubic root of 257110673 is about 635.8773686336.

The spelling of 257110673 in words is "two hundred fifty-seven million, one hundred ten thousand, six hundred seventy-three".