258565249 has 2 divisors, whose sum is σ = 258565250. Its totient is φ = 258565248.

The previous prime is 258565207. The next prime is 258565253. The reversal of 258565249 is 942565852.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171479025 + 87086224 = 13095^2 + 9332^2 .

It is a cyclic number.

It is not a de Polignac number, because 258565249 - 2²⁷ = 124347521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258565199 and 258565208.

It is not a weakly prime, because it can be changed into another prime (258565649) 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, 129282624 + 129282625.

It is an arithmetic number, because the mean of its divisors is an integer number (129282625).

Almost surely, 2^258565249 is an apocalyptic number.

It is an amenable number.

258565249 is a deficient number, since it is larger than the sum of its proper divisors (1).

258565249 is an equidigital number, since it uses as much as digits as its factorization.

258565249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864000, while the sum is 46.

The square root of 258565249 is about 16079.9642101592. The cubic root of 258565249 is about 637.0742503444.

The spelling of 258565249 in words is "two hundred fifty-eight million, five hundred sixty-five thousand, two hundred forty-nine".