258350873857 has 2 divisors, whose sum is σ = 258350873858. Its totient is φ = 258350873856.

The previous prime is 258350873831. The next prime is 258350873863. The reversal of 258350873857 is 758378053852.

258350873857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171653604721 + 86697269136 = 414311^2 + 294444^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-258350873857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258350873795 and 258350873804.

It is not a weakly prime, because it can be changed into another prime (258350873257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129175436928 + 129175436929.

It is an arithmetic number, because the mean of its divisors is an integer number (129175436929).

Almost surely, 2^258350873857 is an apocalyptic number.

It is an amenable number.

258350873857 is a deficient number, since it is larger than the sum of its proper divisors (1).

258350873857 is an equidigital number, since it uses as much as digits as its factorization.

258350873857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448000, while the sum is 61.

The spelling of 258350873857 in words is "two hundred fifty-eight billion, three hundred fifty million, eight hundred seventy-three thousand, eight hundred fifty-seven".