258572500 has 60 divisors (see below), whose sum is σ = 568983492. Its totient is φ = 102784000.

The previous prime is 258572467. The next prime is 258572507. The reversal of 258572500 is 5275852.

It can be written as a sum of positive squares in 10 ways, for example, as 143568324 + 115004176 = 11982^2 + 10724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258572507) 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 19 ways as a sum of consecutive naturals, for example, 732324 + ... + 732676.

Almost surely, 2^258572500 is an apocalyptic number.

258572500 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 258572500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284491746).

258572500 is an abundant number, since it is smaller than the sum of its proper divisors (310410992).

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

258572500 is a wasteful number, since it uses less digits than its factorization.

258572500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 258572500 is about 16080.1896754982. The cubic root of 258572500 is about 637.0802054914.

The spelling of 258572500 in words is "two hundred fifty-eight million, five hundred seventy-two thousand, five hundred".