258057907217 has 6 divisors (see below), whose sum is σ = 283650427074. Its totient is φ = 234598097360.

The previous prime is 258057907171. The next prime is 258057907231. The reversal of 258057907217 is 712709750852.

It can be written as a sum of positive squares in only one way, i.e., 169875041281 + 88182865936 = 412159^2 + 296956^2 .

It is not a de Polignac number, because 258057907217 - 2¹⁴ = 258057890833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258057907417) 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 in 5 ways as a sum of consecutive naturals, for example, 1066354868 + ... + 1066355109.

It is an arithmetic number, because the mean of its divisors is an integer number (47275071179).

Almost surely, 2^258057907217 is an apocalyptic number.

It is an amenable number.

258057907217 is a deficient number, since it is larger than the sum of its proper divisors (25592519857).

258057907217 is a wasteful number, since it uses less digits than its factorization.

258057907217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132709999 (or 2132709988 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 53.

The spelling of 258057907217 in words is "two hundred fifty-eight billion, fifty-seven million, nine hundred seven thousand, two hundred seventeen".