257638150841 has 2 divisors, whose sum is σ = 257638150842. Its totient is φ = 257638150840.

The previous prime is 257638150811. The next prime is 257638150849. The reversal of 257638150841 is 148051836752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211619320441 + 46018830400 = 460021^2 + 214520^2 .

It is a cyclic number.

It is not a de Polignac number, because 257638150841 - 2¹⁰ = 257638149817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257638150841.

It is not a weakly prime, because it can be changed into another prime (257638150849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128819075420 + 128819075421.

It is an arithmetic number, because the mean of its divisors is an integer number (128819075421).

Almost surely, 2^257638150841 is an apocalyptic number.

It is an amenable number.

257638150841 is a deficient number, since it is larger than the sum of its proper divisors (1).

257638150841 is an equidigital number, since it uses as much as digits as its factorization.

257638150841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 257638150841 in words is "two hundred fifty-seven billion, six hundred thirty-eight million, one hundred fifty thousand, eight hundred forty-one".