257842261 has 2 divisors, whose sum is σ = 257842262. Its totient is φ = 257842260.

The previous prime is 257842241. The next prime is 257842309. The reversal of 257842261 is 162248752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248661361 + 9180900 = 15769^2 + 3030^2 .

It is a cyclic number.

It is not a de Polignac number, because 257842261 - 2⁵ = 257842229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257842261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257842231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128921130 + 128921131.

It is an arithmetic number, because the mean of its divisors is an integer number (128921131).

Almost surely, 2^257842261 is an apocalyptic number.

It is an amenable number.

257842261 is a deficient number, since it is larger than the sum of its proper divisors (1).

257842261 is an equidigital number, since it uses as much as digits as its factorization.

257842261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 53760, while the sum is 37.

The square root of 257842261 is about 16057.4674528706. The cubic root of 257842261 is about 636.4799103497.

The spelling of 257842261 in words is "two hundred fifty-seven million, eight hundred forty-two thousand, two hundred sixty-one".