257852873 has 2 divisors, whose sum is σ = 257852874. Its totient is φ = 257852872.

The previous prime is 257852851. The next prime is 257852879. The reversal of 257852873 is 378258752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244515769 + 13337104 = 15637^2 + 3652^2 .

It is a cyclic number.

It is not a de Polignac number, because 257852873 - 2⁶ = 257852809 is a prime.

It is a super-2 number, since 2×257852873² = 132976208228708258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257852879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128926436 + 128926437.

It is an arithmetic number, because the mean of its divisors is an integer number (128926437).

Almost surely, 2^257852873 is an apocalyptic number.

It is an amenable number.

257852873 is a deficient number, since it is larger than the sum of its proper divisors (1).

257852873 is an equidigital number, since it uses as much as digits as its factorization.

257852873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 940800, while the sum is 47.

The square root of 257852873 is about 16057.7978876308. The cubic root of 257852873 is about 636.4886420864.

The spelling of 257852873 in words is "two hundred fifty-seven million, eight hundred fifty-two thousand, eight hundred seventy-three".