258300058517 has 2 divisors, whose sum is σ = 258300058518. Its totient is φ = 258300058516.

The previous prime is 258300058493. The next prime is 258300058661. The reversal of 258300058517 is 715850003852.

258300058517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249319463761 + 8980594756 = 499319^2 + 94766^2 .

It is a cyclic number.

It is not a de Polignac number, because 258300058517 - 2¹⁶ = 258299992981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258300058217) 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, 129150029258 + 129150029259.

It is an arithmetic number, because the mean of its divisors is an integer number (129150029259).

Almost surely, 2^258300058517 is an apocalyptic number.

It is an amenable number.

258300058517 is a deficient number, since it is larger than the sum of its proper divisors (1).

258300058517 is an equidigital number, since it uses as much as digits as its factorization.

258300058517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336000, while the sum is 44.

The spelling of 258300058517 in words is "two hundred fifty-eight billion, three hundred million, fifty-eight thousand, five hundred seventeen".