289621567225 has 27 divisors (see below), whose sum is σ = 369226235847. Its totient is φ = 225357670080.

The previous prime is 289621567223. The next prime is 289621567237. The reversal of 289621567225 is 522765126982.

The square root of 289621567225 is 538165.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1033429609 + 288588137616 = 32147^2 + 537204^2 .

It is not a de Polignac number, because 289621567225 - 2¹ = 289621567223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289621567223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99559071 + ... + 99561979.

Almost surely, 2^289621567225 is an apocalyptic number.

289621567225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

289621567225 is the 538165-th square number.

289621567225 is the 269083-rd centered octagonal number.

It is an amenable number.

289621567225 is a deficient number, since it is larger than the sum of its proper divisors (79604668622).

289621567225 is an frugal number, since it uses more digits than its factorization.

289621567225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 2951 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The spelling of 289621567225 in words is "two hundred eighty-nine billion, six hundred twenty-one million, five hundred sixty-seven thousand, two hundred twenty-five".