257824219229 has 2 divisors, whose sum is σ = 257824219230. Its totient is φ = 257824219228.

The previous prime is 257824219189. The next prime is 257824219243. The reversal of 257824219229 is 922912428752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133075392025 + 124748827204 = 364795^2 + 353198^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257824219229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257824219259) 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, 128912109614 + 128912109615.

It is an arithmetic number, because the mean of its divisors is an integer number (128912109615).

Almost surely, 2^257824219229 is an apocalyptic number.

It is an amenable number.

257824219229 is a deficient number, since it is larger than the sum of its proper divisors (1).

257824219229 is an equidigital number, since it uses as much as digits as its factorization.

257824219229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2903040, while the sum is 53.

The spelling of 257824219229 in words is "two hundred fifty-seven billion, eight hundred twenty-four million, two hundred nineteen thousand, two hundred twenty-nine".