289858408225 has 81 divisors (see below), whose sum is σ = 385209685497. Its totient is φ = 216353242560.

The previous prime is 289858408187. The next prime is 289858408249. The reversal of 289858408225 is 522804858982.

The square root of 289858408225 is 538385.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3984260641 + 285874147584 = 63121^2 + 534672^2 .

It is not a de Polignac number, because 289858408225 - 2⁷ = 289858408097 is a prime.

It is a Duffinian 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, 3669093736 + ... + 3669093814.

Almost surely, 2^289858408225 is an apocalyptic number.

289858408225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

289858408225 is the 538385-th square number.

289858408225 is the 269193-rd centered octagonal number.

It is an amenable number.

289858408225 is a deficient number, since it is larger than the sum of its proper divisors (95351277272).

289858408225 is an frugal number, since it uses more digits than its factorization.

289858408225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 61.

The spelling of 289858408225 in words is "two hundred eighty-nine billion, eight hundred fifty-eight million, four hundred eight thousand, two hundred twenty-five".