258976948697 has 2 divisors, whose sum is σ = 258976948698. Its totient is φ = 258976948696.

The previous prime is 258976948639. The next prime is 258976948733. The reversal of 258976948697 is 796849679852.

258976948697 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., 235900604416 + 23076344281 = 485696^2 + 151909^2 .

It is a cyclic number.

It is not a de Polignac number, because 258976948697 - 2²⁶ = 258909839833 is a prime.

It is not a weakly prime, because it can be changed into another prime (258976938697) 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, 129488474348 + 129488474349.

It is an arithmetic number, because the mean of its divisors is an integer number (129488474349).

Almost surely, 2^258976948697 is an apocalyptic number.

It is an amenable number.

258976948697 is a deficient number, since it is larger than the sum of its proper divisors (1).

258976948697 is an equidigital number, since it uses as much as digits as its factorization.

258976948697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3292047360, while the sum is 80.

The spelling of 258976948697 in words is "two hundred fifty-eight billion, nine hundred seventy-six million, nine hundred forty-eight thousand, six hundred ninety-seven".