284531562225 has 81 divisors (see below), whose sum is σ = 522386735403. Its totient is φ = 148041865440.

The previous prime is 284531562193. The next prime is 284531562233. The reversal of 284531562225 is 522265135482.

The square root of 284531562225 is 533415.

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

284531562225 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 3 + 15 + 622 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102431362401 + 182100199824 = 320049^2 + 426732^2 .

It is not a de Polignac number, because 284531562225 - 2⁵ = 284531562193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 344052262 + ... + 344053088.

Almost surely, 2^284531562225 is an apocalyptic number.

284531562225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

284531562225 is the 533415-th square number.

284531562225 is the 266708-th centered octagonal number.

It is an amenable number.

284531562225 is a deficient number, since it is larger than the sum of its proper divisors (237855173178).

284531562225 is an frugal number, since it uses more digits than its factorization.

284531562225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 878 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 284531562225 in words is "two hundred eighty-four billion, five hundred thirty-one million, five hundred sixty-two thousand, two hundred twenty-five".