252333225 has 45 divisors (see below), whose sum is σ = 468736213. Its totient is φ = 134196480.

The previous prime is 252333199. The next prime is 252333239. The reversal of 252333225 is 522333252.

The square root of 252333225 is 15885.

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 13816089 + 238517136 = 3717^2 + 15444^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 252333225 - 2¹⁹ = 251808937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 714649 + ... + 715001.

Almost surely, 2^252333225 is an apocalyptic number.

252333225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

252333225 is the 15885-th square number.

252333225 is the 7943-rd centered octagonal number.

It is an amenable number.

252333225 is a deficient number, since it is larger than the sum of its proper divisors (216402988).

252333225 is an frugal number, since it uses more digits than its factorization.

252333225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 361 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The cubic root of 252333225 is about 631.9142457287.

Adding to 252333225 its sum of digits (27), we get a palindrome (252333252).

Adding to 252333225 its reverse (522333252), we get a palindrome (774666477).

The spelling of 252333225 in words is "two hundred fifty-two million, three hundred thirty-three thousand, two hundred twenty-five".