289417100625 has 105 divisors (see below), whose sum is σ = 542916563431. Its totient is φ = 154162116000.

The previous prime is 289417100617. The next prime is 289417100647. The reversal of 289417100625 is 526001714982.

The square root of 289417100625 is 537975.

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

289417100625 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 1 + 7 + 10 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 226148753601 + 63268347024 = 475551^2 + 251532^2 .

It is not a de Polignac number, because 289417100625 - 2³ = 289417100617 is a prime.

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

It is a Duffinian number.

It is a Curzon 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 104 ways as a sum of consecutive naturals, for example, 363132727 + ... + 363133523.

Almost surely, 2^289417100625 is an apocalyptic number.

289417100625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

289417100625 is the 537975-th square number.

289417100625 is the 268988-th centered octagonal number.

It is an amenable number.

289417100625 is a deficient number, since it is larger than the sum of its proper divisors (253499462806).

289417100625 is an frugal number, since it uses more digits than its factorization.

289417100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 289417100625 in words is "two hundred eighty-nine billion, four hundred seventeen million, one hundred thousand, six hundred twenty-five".