258513900 has 144 divisors (see below), whose sum is σ = 799261344. Its totient is φ = 64286720.

The previous prime is 258513889. The next prime is 258513907. The reversal of 258513900 is 9315852.

It is not an unprimeable number, because it can be changed into a prime (258513907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882154 + ... + 882446.

It is an arithmetic number, because the mean of its divisors is an integer number (5550426).

Almost surely, 2^258513900 is an apocalyptic number.

258513900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258513900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399630672).

258513900 is an abundant number, since it is smaller than the sum of its proper divisors (540747444).

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

258513900 is a wasteful number, since it uses less digits than its factorization.

258513900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 258513900 is about 16078.3674544401. The cubic root of 258513900 is about 637.0320749276.

The spelling of 258513900 in words is "two hundred fifty-eight million, five hundred thirteen thousand, nine hundred".