258439040161 has 25 divisors (see below), whose sum is σ = 279192425105. Its totient is φ = 239228284020.

The previous prime is 258439040149. The next prime is 258439040173. The reversal of 258439040161 is 161040934852.

The square root of 258439040161 is 508369.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (258439040149) and next prime (258439040173).

It is not a de Polignac number, because 258439040161 - 2¹³ = 258439031969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258439040261) 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 24 ways as a sum of consecutive naturals, for example, 8336743216 + ... + 8336743246.

Almost surely, 2^258439040161 is an apocalyptic number.

258439040161 is the 508369-th square number.

258439040161 is the 254185-th centered octagonal number.

It is an amenable number.

258439040161 is a deficient number, since it is larger than the sum of its proper divisors (20753384944).

258439040161 is an frugal number, since it uses more digits than its factorization.

258439040161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 258439040161 in words is "two hundred fifty-eight billion, four hundred thirty-nine million, forty thousand, one hundred sixty-one".