281340072225 has 63 divisors (see below), whose sum is σ = 523186420393. Its totient is φ = 150009848640.

The previous prime is 281340072203. The next prime is 281340072227. The reversal of 281340072225 is 522270043182.

The square root of 281340072225 is 530415.

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

281340072225 is a `hidden beast` number, since 28 + 1 + 3 + 400 + 7 + 2 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74704369041 + 206635703184 = 273321^2 + 454572^2 .

It is not a de Polignac number, because 281340072225 - 2¹⁷ = 281339941153 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 281340072225.

It is not an unprimeable number, because it can be changed into a prime (281340072227) 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 62 ways as a sum of consecutive naturals, for example, 71604061 + ... + 71607989.

Almost surely, 2^281340072225 is an apocalyptic number.

281340072225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

281340072225 is the 530415-th square number.

281340072225 is the 265208-th centered octagonal number.

It is an amenable number.

281340072225 is a deficient number, since it is larger than the sum of its proper divisors (241846348168).

281340072225 is an frugal number, since it uses more digits than its factorization.

281340072225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 281340072225 by its sum of digits (36), we get a square (10128242600100 = 3182490²).

The spelling of 281340072225 in words is "two hundred eighty-one billion, three hundred forty million, seventy-two thousand, two hundred twenty-five".