282333919812025 has 27 divisors (see below), whose sum is σ = 351627438526189. Its totient is φ = 224882156006720.

The previous prime is 282333919811987. The next prime is 282333919812031. The reversal of 282333919812025 is 520218919333282.

The square root of 282333919812025 is 16802795.

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 55602240669481 + 226731679142544 = 7456691^2 + 15057612^2 .

It is not a de Polignac number, because 282333919812025 - 2⁷ = 282333919811897 is a prime.

It is a super-2 number, since 2×282333919812025² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19575248964 + ... + 19575263386.

Almost surely, 2^{282333919812025} is an apocalyptic number.

282333919812025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

282333919812025 is the 16802795-th square number.

282333919812025 is the 8401398-th centered octagonal number.

It is an amenable number.

282333919812025 is a deficient number, since it is larger than the sum of its proper divisors (69293518714164).

282333919812025 is an frugal number, since it uses more digits than its factorization.

282333919812025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29322 (or 14661 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 282333919812025 in words is "two hundred eighty-two trillion, three hundred thirty-three billion, nine hundred nineteen million, eight hundred twelve thousand, twenty-five".