257776693 has 2 divisors, whose sum is σ = 257776694. Its totient is φ = 257776692.

The previous prime is 257776657. The next prime is 257776697. The reversal of 257776693 is 396677752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238609809 + 19166884 = 15447^2 + 4378^2 .

It is a cyclic number.

It is not a de Polignac number, because 257776693 - 2²⁵ = 224222261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257776693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257776697) 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, 128888346 + 128888347.

It is an arithmetic number, because the mean of its divisors is an integer number (128888347).

Almost surely, 2^257776693 is an apocalyptic number.

It is an amenable number.

257776693 is a deficient number, since it is larger than the sum of its proper divisors (1).

257776693 is an equidigital number, since it uses as much as digits as its factorization.

257776693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3333960, while the sum is 52.

The square root of 257776693 is about 16055.4256561450. The cubic root of 257776693 is about 636.4259545545.

The spelling of 257776693 in words is "two hundred fifty-seven million, seven hundred seventy-six thousand, six hundred ninety-three".