89153002225 has 81 divisors (see below), whose sum is σ = 136026188577. Its totient is φ = 57786946560.

The previous prime is 89153002157. The next prime is 89153002241. The reversal of 89153002225 is 52220035198.

The square root of 89153002225 is 298585.

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 79405921 + 89073596304 = 8911^2 + 298452^2 .

It is not a de Polignac number, because 89153002225 - 2⁹ = 89153001713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 198558801 + ... + 198559249.

Almost surely, 2^89153002225 is an apocalyptic number.

89153002225 is the 298585-th square number.

89153002225 is the 149293-rd centered octagonal number.

It is an amenable number.

89153002225 is a deficient number, since it is larger than the sum of its proper divisors (46873186352).

89153002225 is an equidigital number, since it uses as much as digits as its factorization.

89153002225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 89153002225 in words is "eighty-nine billion, one hundred fifty-three million, two thousand, two hundred twenty-five".