258636641 has 2 divisors, whose sum is σ = 258636642. Its totient is φ = 258636640.

The previous prime is 258636593. The next prime is 258636647. The reversal of 258636641 is 146636852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258534241 + 102400 = 16079^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 258636641 - 2¹⁰ = 258635617 is a prime.

It is not a weakly prime, because it can be changed into another prime (258636647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129318320 + 129318321.

It is an arithmetic number, because the mean of its divisors is an integer number (129318321).

Almost surely, 2^258636641 is an apocalyptic number.

It is an amenable number.

258636641 is a deficient number, since it is larger than the sum of its proper divisors (1).

258636641 is an equidigital number, since it uses as much as digits as its factorization.

258636641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 207360, while the sum is 41.

The square root of 258636641 is about 16082.1839623852. The cubic root of 258636641 is about 637.1328787689.

The spelling of 258636641 in words is "two hundred fifty-eight million, six hundred thirty-six thousand, six hundred forty-one".