257136770321 has 2 divisors, whose sum is σ = 257136770322. Its totient is φ = 257136770320.

The previous prime is 257136770299. The next prime is 257136770339. The reversal of 257136770321 is 123077631752.

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., 176264785921 + 80871984400 = 419839^2 + 284380^2 .

It is a cyclic number.

It is not a de Polignac number, because 257136770321 - 2¹⁰ = 257136769297 is a prime.

It is a super-2 number, since 2×257136770321² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257136773321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128568385160 + 128568385161.

It is an arithmetic number, because the mean of its divisors is an integer number (128568385161).

Almost surely, 2^257136770321 is an apocalyptic number.

It is an amenable number.

257136770321 is a deficient number, since it is larger than the sum of its proper divisors (1).

257136770321 is an equidigital number, since it uses as much as digits as its factorization.

257136770321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 370440, while the sum is 44.

The spelling of 257136770321 in words is "two hundred fifty-seven billion, one hundred thirty-six million, seven hundred seventy thousand, three hundred twenty-one".