258727225 has 9 divisors (see below), whose sum is σ = 320921517. Its totient is φ = 206917440.

The previous prime is 258727201. The next prime is 258727229. The reversal of 258727225 is 522727852.

The square root of 258727225 is 16085.

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 26347689 + 232379536 = 5133^2 + 15244^2 .

It is not a de Polignac number, because 258727225 - 2⁵ = 258727193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258727229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78817 + ... + 82033.

Almost surely, 2^258727225 is an apocalyptic number.

258727225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

258727225 is the 16085-th square number.

258727225 is the 8043-rd centered octagonal number.

It is an amenable number.

258727225 is a deficient number, since it is larger than the sum of its proper divisors (62194292).

258727225 is an frugal number, since it uses more digits than its factorization.

258727225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 3222 counting only the distinct ones).

The product of its digits is 156800, while the sum is 40.

The cubic root of 258727225 is about 637.2072524899.

The spelling of 258727225 in words is "two hundred fifty-eight million, seven hundred twenty-seven thousand, two hundred twenty-five".