258513288 has 64 divisors (see below), whose sum is σ = 746521920. Its totient is φ = 73728000.

The previous prime is 258513263. The next prime is 258513289. The reversal of 258513288 is 882315852.

It is not an unprimeable number, because it can be changed into a prime (258513289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24313 + ... + 33288.

It is an arithmetic number, because the mean of its divisors is an integer number (11664405).

Almost surely, 2^258513288 is an apocalyptic number.

It is an amenable number.

258513288 is an abundant number, since it is smaller than the sum of its proper divisors (488008632).

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

258513288 is a wasteful number, since it uses less digits than its factorization.

258513288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57638 (or 57634 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 258513288 is about 16078.3484226459. The cubic root of 258513288 is about 637.0315722288.

The spelling of 258513288 in words is "two hundred fifty-eight million, five hundred thirteen thousand, two hundred eighty-eight".