89135088025 has 45 divisors (see below), whose sum is σ = 116109946123. Its totient is φ = 67879464800.

The previous prime is 89135088013. The next prime is 89135088071. The reversal of 89135088025 is 52088053198.

The square root of 89135088025 is 298555.

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

It can be written as a sum of positive squares in 7 ways, for example, as 52820449929 + 36314638096 = 229827^2 + 190564^2 .

It is not a de Polignac number, because 89135088025 - 2²¹ = 89132990873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 89135088025.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1255423740 + ... + 1255423810.

Almost surely, 2^89135088025 is an apocalyptic number.

89135088025 is the 298555-th square number.

89135088025 is the 149278-th centered octagonal number.

It is an amenable number.

89135088025 is a deficient number, since it is larger than the sum of its proper divisors (26974858098).

89135088025 is an frugal number, since it uses more digits than its factorization.

89135088025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

Multiplying 89135088025 by its sum of digits (49), we get a square (4367619313225 = 2089885²).

The spelling of 89135088025 in words is "eighty-nine billion, one hundred thirty-five million, eighty-eight thousand, twenty-five".