257022673 has 2 divisors, whose sum is σ = 257022674. Its totient is φ = 257022672.

The previous prime is 257022593. The next prime is 257022721. The reversal of 257022673 is 376220752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244828609 + 12194064 = 15647^2 + 3492^2 .

It is a cyclic number.

It is not a de Polignac number, because 257022673 - 2²⁵ = 223468241 is a prime.

It is not a weakly prime, because it can be changed into another prime (257022173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128511336 + 128511337.

It is an arithmetic number, because the mean of its divisors is an integer number (128511337).

Almost surely, 2^257022673 is an apocalyptic number.

It is an amenable number.

257022673 is a deficient number, since it is larger than the sum of its proper divisors (1).

257022673 is an equidigital number, since it uses as much as digits as its factorization.

257022673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 257022673 is about 16031.9266777265. The cubic root of 257022673 is about 635.8048141534.

The spelling of 257022673 in words is "two hundred fifty-seven million, twenty-two thousand, six hundred seventy-three".