257550600505997 has 2 divisors, whose sum is σ = 257550600505998. Its totient is φ = 257550600505996.

The previous prime is 257550600505967. The next prime is 257550600506071. The reversal of 257550600505997 is 799505006055752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257382148541956 + 168451964041 = 16043134^2 + 410429^2 .

It is a cyclic number.

It is not a de Polignac number, because 257550600505997 - 2⁸ = 257550600505741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257550600505967) 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, 128775300252998 + 128775300252999.

It is an arithmetic number, because the mean of its divisors is an integer number (128775300252999).

Almost surely, 2^{257550600505997} is an apocalyptic number.

It is an amenable number.

257550600505997 is a deficient number, since it is larger than the sum of its proper divisors (1).

257550600505997 is an equidigital number, since it uses as much as digits as its factorization.

257550600505997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 148837500, while the sum is 65.

The spelling of 257550600505997 in words is "two hundred fifty-seven trillion, five hundred fifty billion, six hundred million, five hundred five thousand, nine hundred ninety-seven".