288943876225 has 9 divisors (see below), whose sum is σ = 358293739267. Its totient is φ = 231152950840.

The previous prime is 288943876219. The next prime is 288943876253. The reversal of 288943876225 is 522678349882.

The square root of 288943876225 is 537535.

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

It can be written as a sum of positive squares in only one way, i.e., 104019795441 + 184924080784 = 322521^2 + 430028^2 .

It is a de Polignac number, because none of the positive numbers 2^k-288943876225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2633922 + ... + 2741428.

Almost surely, 2^288943876225 is an apocalyptic number.

288943876225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288943876225 is the 537535-th square number.

288943876225 is the 268768-th centered octagonal number.

It is an amenable number.

288943876225 is a deficient number, since it is larger than the sum of its proper divisors (69349863042).

288943876225 is an frugal number, since it uses more digits than its factorization.

288943876225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215024 (or 107512 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 64.

Multiplying 288943876225 by its sum of digits (64), we get a square (18492408078400 = 4300280²).

The spelling of 288943876225 in words is "two hundred eighty-eight billion, nine hundred forty-three million, eight hundred seventy-six thousand, two hundred twenty-five".