258125117 has 2 divisors, whose sum is σ = 258125118. Its totient is φ = 258125116.

The previous prime is 258125057. The next prime is 258125141. The reversal of 258125117 is 711521852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204747481 + 53377636 = 14309^2 + 7306^2 .

It is a cyclic number.

It is not a de Polignac number, because 258125117 - 2¹⁰ = 258124093 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258125167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129062558 + 129062559.

It is an arithmetic number, because the mean of its divisors is an integer number (129062559).

Almost surely, 2^258125117 is an apocalyptic number.

It is an amenable number.

258125117 is a deficient number, since it is larger than the sum of its proper divisors (1).

258125117 is an equidigital number, since it uses as much as digits as its factorization.

258125117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5600, while the sum is 32.

The square root of 258125117 is about 16066.2726542282. The cubic root of 258125117 is about 636.7125672830.

Adding to 258125117 its reverse (711521852), we get a palindrome (969646969).

The spelling of 258125117 in words is "two hundred fifty-eight million, one hundred twenty-five thousand, one hundred seventeen".