257816341 has 2 divisors, whose sum is σ = 257816342. Its totient is φ = 257816340.

The previous prime is 257816309. The next prime is 257816353. The reversal of 257816341 is 143618752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257474116 + 342225 = 16046^2 + 585^2 .

It is a cyclic number.

It is not a de Polignac number, because 257816341 - 2⁵ = 257816309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257816341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257816381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128908170 + 128908171.

It is an arithmetic number, because the mean of its divisors is an integer number (128908171).

Almost surely, 2^257816341 is an apocalyptic number.

It is an amenable number.

257816341 is a deficient number, since it is larger than the sum of its proper divisors (1).

257816341 is an equidigital number, since it uses as much as digits as its factorization.

257816341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 37.

The square root of 257816341 is about 16056.6603314637. The cubic root of 257816341 is about 636.4585819194.

The spelling of 257816341 in words is "two hundred fifty-seven million, eight hundred sixteen thousand, three hundred forty-one".