258588641 has 8 divisors (see below), whose sum is σ = 260208000. Its totient is φ = 256974768.

The previous prime is 258588623. The next prime is 258588691. The reversal of 258588641 is 146885852.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 258588641 - 2¹⁰ = 258587617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258588601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128360 + ... + 130358.

It is an arithmetic number, because the mean of its divisors is an integer number (32526000).

Almost surely, 2^258588641 is an apocalyptic number.

It is an amenable number.

258588641 is a deficient number, since it is larger than the sum of its proper divisors (1619359).

258588641 is a wasteful number, since it uses less digits than its factorization.

258588641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743.

The product of its digits is 614400, while the sum is 47.

The square root of 258588641 is about 16080.6915585120. The cubic root of 258588641 is about 637.0934614740.

The spelling of 258588641 in words is "two hundred fifty-eight million, five hundred eighty-eight thousand, six hundred forty-one".