258000481 has 2 divisors, whose sum is σ = 258000482. Its totient is φ = 258000480.

The previous prime is 258000403. The next prime is 258000497. The reversal of 258000481 is 184000852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255488256 + 2512225 = 15984^2 + 1585^2 .

It is a cyclic number.

It is not a de Polignac number, because 258000481 - 2¹⁵ = 257967713 is a prime.

It is a super-2 number, since 2×258000481² = 133128496392462722, which contains 22 as substring.

258000481 is a modest number, since divided by 481 gives 258 as remainder.

It is equal to p_14092741 and since 258000481 and 14092741 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (258003481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129000240 + 129000241.

It is an arithmetic number, because the mean of its divisors is an integer number (129000241).

Almost surely, 2^258000481 is an apocalyptic number.

It is an amenable number.

258000481 is a deficient number, since it is larger than the sum of its proper divisors (1).

258000481 is an equidigital number, since it uses as much as digits as its factorization.

258000481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 258000481 is about 16062.3933770780. The cubic root of 258000481 is about 636.6100716606.

The spelling of 258000481 in words is "two hundred fifty-eight million, four hundred eighty-one", and thus it is an aban number.