288769096225 has 18 divisors (see below), whose sum is σ = 380375855714. Its totient is φ = 217426137600.

The previous prime is 288769096219. The next prime is 288769096229. The reversal of 288769096225 is 522690967882.

It can be written as a sum of positive squares in 9 ways, for example, as 18190186641 + 270578909584 = 134871^2 + 520172^2 .

It is not a de Polignac number, because 288769096225 - 2¹³ = 288769088033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288769096229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19976796 + ... + 19991245.

Almost surely, 2^288769096225 is an apocalyptic number.

288769096225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

288769096225 is a deficient number, since it is larger than the sum of its proper divisors (91606759489).

288769096225 is a wasteful number, since it uses less digits than its factorization.

288769096225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39968085 (or 39968063 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 288769096225 in words is "two hundred eighty-eight billion, seven hundred sixty-nine million, ninety-six thousand, two hundred twenty-five".