89248575025 has 27 divisors (see below), whose sum is σ = 111694495843. Its totient is φ = 70742816000.

The previous prime is 89248574983. The next prime is 89248575047. The reversal of 89248575025 is 52057584298.

The square root of 89248575025 is 298745.

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 35101146609 + 54147428416 = 187353^2 + 232696^2 .

It is not a de Polignac number, because 89248575025 - 2¹¹ = 89248572977 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222564825 + ... + 222565225.

Almost surely, 2^89248575025 is an apocalyptic number.

89248575025 is the 298745-th square number.

89248575025 is the 149373-rd centered octagonal number.

It is an amenable number.

89248575025 is a deficient number, since it is larger than the sum of its proper divisors (22445920818).

89248575025 is an frugal number, since it uses more digits than its factorization.

89248575025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 55.

The spelling of 89248575025 in words is "eighty-nine billion, two hundred forty-eight million, five hundred seventy-five thousand, twenty-five".