257363609 has 2 divisors, whose sum is σ = 257363610. Its totient is φ = 257363608.

The previous prime is 257363599. The next prime is 257363611. The reversal of 257363609 is 906363752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175642009 + 81721600 = 13253^2 + 9040^2 .

It is a cyclic number.

It is not a de Polignac number, because 257363609 - 2¹² = 257359513 is a prime.

It is a Sophie Germain prime.

Together with 257363611, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (257363669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128681804 + 128681805.

It is an arithmetic number, because the mean of its divisors is an integer number (128681805).

Almost surely, 2^257363609 is an apocalyptic number.

It is an amenable number.

257363609 is a deficient number, since it is larger than the sum of its proper divisors (1).

257363609 is an equidigital number, since it uses as much as digits as its factorization.

257363609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 204120, while the sum is 41.

The square root of 257363609 is about 16042.5561865932. The cubic root of 257363609 is about 636.0858178635.

The spelling of 257363609 in words is "two hundred fifty-seven million, three hundred sixty-three thousand, six hundred nine".