288255825 has 216 divisors, whose sum is σ = 665124096. Its totient is φ = 117504000.

The previous prime is 288255823. The next prime is 288255839. The reversal of 288255825 is 528552882.

It is not a de Polignac number, because 288255825 - 2¹ = 288255823 is a prime.

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

Its product of digits (512000) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (288255823) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9298560 + ... + 9298590.

Almost surely, 2^288255825 is an apocalyptic number.

288255825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

288255825 is an abundant number, since it is smaller than the sum of its proper divisors (376868271).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288255825 is a wasteful number, since it uses less digits than its factorization.

288255825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 288255825 is about 16978.0983917517. The cubic root of 288255825 is about 660.5809279148.

The spelling of 288255825 in words is "two hundred eighty-eight million, two hundred fifty-five thousand, eight hundred twenty-five".