258935641 has 2 divisors, whose sum is σ = 258935642. Its totient is φ = 258935640.

The previous prime is 258935639. The next prime is 258935659. The reversal of 258935641 is 146539852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230888025 + 28047616 = 15195^2 + 5296^2 .

It is a cyclic number.

It is not a de Polignac number, because 258935641 - 2¹ = 258935639 is a prime.

Together with 258935639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (258935141) 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, 129467820 + 129467821.

It is an arithmetic number, because the mean of its divisors is an integer number (129467821).

Almost surely, 2^258935641 is an apocalyptic number.

It is an amenable number.

258935641 is a deficient number, since it is larger than the sum of its proper divisors (1).

258935641 is an equidigital number, since it uses as much as digits as its factorization.

258935641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 259200, while the sum is 43.

The square root of 258935641 is about 16091.4772783607. The cubic root of 258935641 is about 637.3783059264.

It can be divided in two parts, 258 and 935641, that multiplied together give a triangular number (241395378 = T₂₁₉₇₂).

The spelling of 258935641 in words is "two hundred fifty-eight million, nine hundred thirty-five thousand, six hundred forty-one".