10289059225 has 9 divisors (see below), whose sum is σ = 12759062367. Its totient is φ = 8230841640.

The previous prime is 10289059169. The next prime is 10289059259. The reversal of 10289059225 is 52295098201.

The square root of 10289059225 is 101435.

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

10289059225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3704061321 + 6584997904 = 60861^2 + 81148^2 .

It is not a de Polignac number, because 10289059225 - 2⁹ = 10289058713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 497032 + ... + 517318.

Almost surely, 2^10289059225 is an apocalyptic number.

10289059225 is the 101435-th square number.

10289059225 is the 50718-th centered octagonal number.

It is an amenable number.

10289059225 is a deficient number, since it is larger than the sum of its proper divisors (2470003142).

10289059225 is an frugal number, since it uses more digits than its factorization.

10289059225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40584 (or 20292 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 10289059225 in words is "ten billion, two hundred eighty-nine million, fifty-nine thousand, two hundred twenty-five".