258942019813733 has 2 divisors, whose sum is σ = 258942019813734. Its totient is φ = 258942019813732.

The previous prime is 258942019813721. The next prime is 258942019813753. The reversal of 258942019813733 is 337318910249852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181195882653604 + 77746137160129 = 13460902^2 + 8817377^2 .

It is a cyclic number.

It is not a de Polignac number, because 258942019813733 - 2¹⁰ = 258942019812709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258942019813733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258942019813753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129471009906866 + 129471009906867.

It is an arithmetic number, because the mean of its divisors is an integer number (129471009906867).

Almost surely, 2^{258942019813733} is an apocalyptic number.

It is an amenable number.

258942019813733 is a deficient number, since it is larger than the sum of its proper divisors (1).

258942019813733 is an equidigital number, since it uses as much as digits as its factorization.

258942019813733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78382080, while the sum is 65.

The spelling of 258942019813733 in words is "two hundred fifty-eight trillion, nine hundred forty-two billion, nineteen million, eight hundred thirteen thousand, seven hundred thirty-three".