258875585727413 has 2 divisors, whose sum is σ = 258875585727414. Its totient is φ = 258875585727412.

The previous prime is 258875585727379. The next prime is 258875585727419. The reversal of 258875585727413 is 314727585578852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210299940965284 + 48575644762129 = 14501722^2 + 6969623^2 .

It is a cyclic number.

It is not a de Polignac number, because 258875585727413 - 2⁴⁰ = 257776074099637 is a prime.

It is a super-2 number, since 2×258875585727413² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258875585727419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129437792863706 + 129437792863707.

It is an arithmetic number, because the mean of its divisors is an integer number (129437792863707).

Almost surely, 2^{258875585727413} is an apocalyptic number.

It is an amenable number.

258875585727413 is a deficient number, since it is larger than the sum of its proper divisors (1).

258875585727413 is an equidigital number, since it uses as much as digits as its factorization.

258875585727413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5268480000, while the sum is 77.

The spelling of 258875585727413 in words is "two hundred fifty-eight trillion, eight hundred seventy-five billion, five hundred eighty-five million, seven hundred twenty-seven thousand, four hundred thirteen".