258442584289 has 8 divisors (see below), whose sum is σ = 258931005480. Its totient is φ = 257954251776.

The previous prime is 258442584287. The next prime is 258442584313. The reversal of 258442584289 is 982485244852.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 386712225 + 258055872064 = 19665^2 + 507992^2 .

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 258442584289 - 2¹ = 258442584287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258442584287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10006977 + ... + 10032769.

It is an arithmetic number, because the mean of its divisors is an integer number (32366375685).

Almost surely, 2^258442584289 is an apocalyptic number.

It is an amenable number.

258442584289 is a deficient number, since it is larger than the sum of its proper divisors (488421191).

258442584289 is a wasteful number, since it uses less digits than its factorization.

258442584289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44339.

The product of its digits is 58982400, while the sum is 61.

The spelling of 258442584289 in words is "two hundred fifty-eight billion, four hundred forty-two million, five hundred eighty-four thousand, two hundred eighty-nine".