258957261 has 24 divisors (see below), whose sum is σ = 384829536. Its totient is φ = 167732640.

The previous prime is 258957247. The next prime is 258957317. The reversal of 258957261 is 162759852.

258957261 is a `hidden beast` number, since 2 + 589 + 5 + 7 + 2 + 61 = 666.

It is not a de Polignac number, because 258957261 - 2⁷ = 258957133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258958261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42726 + ... + 48408.

It is an arithmetic number, because the mean of its divisors is an integer number (16034564).

Almost surely, 2^258957261 is an apocalyptic number.

It is an amenable number.

258957261 is a deficient number, since it is larger than the sum of its proper divisors (125872275).

258957261 is a wasteful number, since it uses less digits than its factorization.

258957261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5830 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 258957261 is about 16092.1490485267. The cubic root of 258957261 is about 637.3960448717.

The spelling of 258957261 in words is "two hundred fifty-eight million, nine hundred fifty-seven thousand, two hundred sixty-one".