258797959791841 has 16 divisors (see below), whose sum is σ = 268414114784400. Its totient is φ = 249227962437888.

The previous prime is 258797959791827. The next prime is 258797959791859. The reversal of 258797959791841 is 148197959797852.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8755213484241 + 250042746307600 = 2958921^2 + 15812740^2 .

It is not a de Polignac number, because 258797959791841 - 2³⁵ = 258763600053473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258797959791881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126597591 + ... + 1126827283.

It is an arithmetic number, because the mean of its divisors is an integer number (16775882174025).

Almost surely, 2^{258797959791841} is an apocalyptic number.

It is an amenable number.

258797959791841 is a deficient number, since it is larger than the sum of its proper divisors (9616154992559).

258797959791841 is a wasteful number, since it uses less digits than its factorization.

258797959791841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329988.

The product of its digits is 28805414400, while the sum is 91.

The spelling of 258797959791841 in words is "two hundred fifty-eight trillion, seven hundred ninety-seven billion, nine hundred fifty-nine million, seven hundred ninety-one thousand, eight hundred forty-one".