258241803683629 has 2 divisors, whose sum is σ = 258241803683630. Its totient is φ = 258241803683628.

The previous prime is 258241803683621. The next prime is 258241803683681. The reversal of 258241803683629 is 926386308142852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251968732431529 + 6273071252100 = 15873523^2 + 2504610^2 .

It is a cyclic number.

It is not a de Polignac number, because 258241803683629 - 2³ = 258241803683621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258241803683621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129120901841814 + 129120901841815.

It is an arithmetic number, because the mean of its divisors is an integer number (129120901841815).

Almost surely, 2^{258241803683629} is an apocalyptic number.

It is an amenable number.

258241803683629 is a deficient number, since it is larger than the sum of its proper divisors (1).

258241803683629 is an equidigital number, since it uses as much as digits as its factorization.

258241803683629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 238878720, while the sum is 67.

The spelling of 258241803683629 in words is "two hundred fifty-eight trillion, two hundred forty-one billion, eight hundred three million, six hundred eighty-three thousand, six hundred twenty-nine".