210144312225 has 135 divisors (see below), whose sum is σ = 398129755881. Its totient is φ = 109579521600.

The previous prime is 210144312173. The next prime is 210144312233. The reversal of 210144312225 is 522213441012.

The square root of 210144312225 is 458415.

It is a perfect power (a square), and thus also a powerful number.

210144312225 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 4 + 431 + 2 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96796276641 + 113348035584 = 311121^2 + 336672^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 210144312225 - 2⁷ = 210144312097 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1258349092 + ... + 1258349258.

Almost surely, 2^210144312225 is an apocalyptic number.

210144312225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

210144312225 is the 458415-th square number.

210144312225 is the 229208-th centered octagonal number.

It is an amenable number.

210144312225 is a deficient number, since it is larger than the sum of its proper divisors (187985443656).

210144312225 is an frugal number, since it uses more digits than its factorization.

210144312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 210144312225 its reverse (522213441012), we get a palindrome (732357753237).

The spelling of 210144312225 in words is "two hundred ten billion, one hundred forty-four million, three hundred twelve thousand, two hundred twenty-five".