283839435576225 has 81 divisors (see below), whose sum is σ = 509397082188267. Its totient is φ = 151081146184320.

The previous prime is 283839435576211. The next prime is 283839435576251. The reversal of 283839435576225 is 522675534938382.

The square root of 283839435576225 is 16847535.

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

283839435576225 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 3 + 9 + 4 + 3 + 557 + 62 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 154518598163601 + 129320837412624 = 12430551^2 + 11371932^2 .

It is not a de Polignac number, because 283839435576225 - 2³⁷ = 283701996622753 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 195347167599 + ... + 195347169051.

Almost surely, 2^{283839435576225} is an apocalyptic number.

283839435576225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

283839435576225 is the 16847535-th square number.

283839435576225 is the 8423768-th centered octagonal number.

It is an amenable number.

283839435576225 is a deficient number, since it is larger than the sum of its proper divisors (225557646612042).

283839435576225 is an frugal number, since it uses more digits than its factorization.

283839435576225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 2234 counting only the distinct ones).

The product of its digits is 2612736000, while the sum is 72.

The spelling of 283839435576225 in words is "two hundred eighty-three trillion, eight hundred thirty-nine billion, four hundred thirty-five million, five hundred seventy-six thousand, two hundred twenty-five".