258032047813 has 2 divisors, whose sum is σ = 258032047814. Its totient is φ = 258032047812.

The previous prime is 258032047811. The next prime is 258032047853. The reversal of 258032047813 is 318740230852.

258032047813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244463991489 + 13568056324 = 494433^2 + 116482^2 .

It is a cyclic number.

It is not a de Polignac number, because 258032047813 - 2¹ = 258032047811 is a prime.

Together with 258032047811, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 258032047813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258032047811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129016023906 + 129016023907.

It is an arithmetic number, because the mean of its divisors is an integer number (129016023907).

Almost surely, 2^258032047813 is an apocalyptic number.

It is an amenable number.

258032047813 is a deficient number, since it is larger than the sum of its proper divisors (1).

258032047813 is an equidigital number, since it uses as much as digits as its factorization.

258032047813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 258032047813 in words is "two hundred fifty-eight billion, thirty-two million, forty-seven thousand, eight hundred thirteen".