257067361 has 2 divisors, whose sum is σ = 257067362. Its totient is φ = 257067360.

The previous prime is 257067347. The next prime is 257067367. The reversal of 257067361 is 163760752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225930961 + 31136400 = 15031^2 + 5580^2 .

It is a cyclic number.

It is not a de Polignac number, because 257067361 - 2⁵ = 257067329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257067361.

It is not a weakly prime, because it can be changed into another prime (257067367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128533680 + 128533681.

It is an arithmetic number, because the mean of its divisors is an integer number (128533681).

Almost surely, 2^257067361 is an apocalyptic number.

It is an amenable number.

257067361 is a deficient number, since it is larger than the sum of its proper divisors (1).

257067361 is an equidigital number, since it uses as much as digits as its factorization.

257067361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 257067361 is about 16033.3203361001. The cubic root of 257067361 is about 635.8416607069.

The spelling of 257067361 in words is "two hundred fifty-seven million, sixty-seven thousand, three hundred sixty-one".