258289601284 has 81 divisors (see below), whose sum is σ = 538294686111. Its totient is φ = 108312272640.

The previous prime is 258289601267. The next prime is 258289601291. The reversal of 258289601284 is 482106982852.

The square root of 258289601284 is 508222.

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

It can be written as a sum of positive squares in 4 ways, for example, as 36222463684 + 222067137600 = 190322^2 + 471240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145350604 + ... + 145352380.

Almost surely, 2^258289601284 is an apocalyptic number.

258289601284 is the 508222-nd square number.

It is an amenable number.

258289601284 is an abundant number, since it is smaller than the sum of its proper divisors (280005084827).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258289601284 is a wasteful number, since it uses less digits than its factorization.

258289601284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 258289601284 in words is "two hundred fifty-eight billion, two hundred eighty-nine million, six hundred one thousand, two hundred eighty-four".