257638159049 has 2 divisors, whose sum is σ = 257638159050. Its totient is φ = 257638159048.

The previous prime is 257638159007. The next prime is 257638159057. The reversal of 257638159049 is 940951836752.

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., 172063188025 + 85574971024 = 414805^2 + 292532^2 .

It is a cyclic number.

It is not a de Polignac number, because 257638159049 - 2²⁴ = 257621381833 is a prime.

It is not a weakly prime, because it can be changed into another prime (257638159249) 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, 128819079524 + 128819079525.

It is an arithmetic number, because the mean of its divisors is an integer number (128819079525).

It is a 1-persistent number, because it is pandigital, but 2⋅257638159049 = 515276318098 is not.

Almost surely, 2^257638159049 is an apocalyptic number.

It is an amenable number.

257638159049 is a deficient number, since it is larger than the sum of its proper divisors (1).

257638159049 is an equidigital number, since it uses as much as digits as its factorization.

257638159049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16329600, while the sum is 59.

The spelling of 257638159049 in words is "two hundred fifty-seven billion, six hundred thirty-eight million, one hundred fifty-nine thousand, forty-nine".