257728873 has 2 divisors, whose sum is σ = 257728874. Its totient is φ = 257728872.

The previous prime is 257728853. The next prime is 257728879. The reversal of 257728873 is 378827752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231891984 + 25836889 = 15228^2 + 5083^2 .

It is a cyclic number.

It is not a de Polignac number, because 257728873 - 2⁵ = 257728841 is a prime.

It is not a weakly prime, because it can be changed into another prime (257728879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128864436 + 128864437.

It is an arithmetic number, because the mean of its divisors is an integer number (128864437).

Almost surely, 2^257728873 is an apocalyptic number.

It is an amenable number.

257728873 is a deficient number, since it is larger than the sum of its proper divisors (1).

257728873 is an equidigital number, since it uses as much as digits as its factorization.

257728873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1317120, while the sum is 49.

The square root of 257728873 is about 16053.9363708718. The cubic root of 257728873 is about 636.3865977881.

The spelling of 257728873 in words is "two hundred fifty-seven million, seven hundred twenty-eight thousand, eight hundred seventy-three".