258478072805413 has 2 divisors, whose sum is σ = 258478072805414. Its totient is φ = 258478072805412.

The previous prime is 258478072805347. The next prime is 258478072805441. The reversal of 258478072805413 is 314508270874852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257204068481889 + 1274004323524 = 16037583^2 + 1128718^2 .

It is a cyclic number.

It is not a de Polignac number, because 258478072805413 - 2¹³ = 258478072797221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258478072805443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129239036402706 + 129239036402707.

It is an arithmetic number, because the mean of its divisors is an integer number (129239036402707).

Almost surely, 2^{258478072805413} is an apocalyptic number.

It is an amenable number.

258478072805413 is a deficient number, since it is larger than the sum of its proper divisors (1).

258478072805413 is an equidigital number, since it uses as much as digits as its factorization.

258478072805413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120422400, while the sum is 64.

The spelling of 258478072805413 in words is "two hundred fifty-eight trillion, four hundred seventy-eight billion, seventy-two million, eight hundred five thousand, four hundred thirteen".