258004673 has 2 divisors, whose sum is σ = 258004674. Its totient is φ = 258004672.

The previous prime is 258004609. The next prime is 258004679. The reversal of 258004673 is 376400852.

It is a happy number.

258004673 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., 256384144 + 1620529 = 16012^2 + 1273^2 .

It is a cyclic number.

It is not a de Polignac number, because 258004673 - 2⁶ = 258004609 is a prime.

It is a super-3 number, since 3×258004673³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (258004679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129002336 + 129002337.

It is an arithmetic number, because the mean of its divisors is an integer number (129002337).

Almost surely, 2^258004673 is an apocalyptic number.

It is an amenable number.

258004673 is a deficient number, since it is larger than the sum of its proper divisors (1).

258004673 is an equidigital number, since it uses as much as digits as its factorization.

258004673 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 258004673 is about 16062.5238676865. The cubic root of 258004673 is about 636.6135195288.

The spelling of 258004673 in words is "two hundred fifty-eight million, four thousand, six hundred seventy-three".