288830025 has 81 divisors (see below), whose sum is σ = 574206087. Its totient is φ = 138679200.

The previous prime is 288830023. The next prime is 288830041. The reversal of 288830025 is 520038882.

The square root of 288830025 is 16995.

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., 103978809 + 184851216 = 10197^2 + 13596^2 .

It is not a de Polignac number, because 288830025 - 2¹ = 288830023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288830023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2804124 + ... + 2804226.

Almost surely, 2^288830025 is an apocalyptic number.

288830025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

288830025 is the 16995-th square number.

288830025 is the 8498-th centered octagonal number.

It is an amenable number.

288830025 is a deficient number, since it is larger than the sum of its proper divisors (285376062).

288830025 is a wasteful number, since it uses less digits than its factorization.

288830025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 288830025 is about 661.0192584506.

Multiplying 288830025 by its sum of digits (36), we get a square (10397880900 = 101970²).

The spelling of 288830025 in words is "two hundred eighty-eight million, eight hundred thirty thousand, twenty-five".