258247929742813 has 2 divisors, whose sum is σ = 258247929742814. Its totient is φ = 258247929742812.

The previous prime is 258247929742783. The next prime is 258247929742861. The reversal of 258247929742813 is 318247929742852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152612742444409 + 105635187298404 = 12353653^2 + 10277898^2 .

It is a cyclic number.

It is not a de Polignac number, because 258247929742813 - 2⁴¹ = 256048906487261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258247929742013) 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, 129123964871406 + 129123964871407.

It is an arithmetic number, because the mean of its divisors is an integer number (129123964871407).

Almost surely, 2^{258247929742813} is an apocalyptic number.

It is an amenable number.

258247929742813 is a deficient number, since it is larger than the sum of its proper divisors (1).

258247929742813 is an equidigital number, since it uses as much as digits as its factorization.

258247929742813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 975421440, while the sum is 73.

The spelling of 258247929742813 in words is "two hundred fifty-eight trillion, two hundred forty-seven billion, nine hundred twenty-nine million, seven hundred forty-two thousand, eight hundred thirteen".