90553589881225 has 27 divisors (see below), whose sum is σ = 112485334363527. Its totient is φ = 72314787016080.

The previous prime is 90553589881217. The next prime is 90553589881241. The reversal of 90553589881225 is 52218898535509.

The square root of 90553589881225 is 9515965.

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

It can be written as a sum of positive squares in only one way, i.e., 32599292357241 + 57954297523984 = 5709579^2 + 7612772^2 .

It is not a de Polignac number, because 90553589881225 - 2³ = 90553589881217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34209892852 + ... + 34209895498.

Almost surely, 2^{90553589881225} is an apocalyptic number.

90553589881225 is the 9515965-th square number.

90553589881225 is the 4757983-rd centered octagonal number.

It is an amenable number.

90553589881225 is a deficient number, since it is larger than the sum of its proper divisors (21931744482302).

90553589881225 is an frugal number, since it uses more digits than its factorization.

90553589881225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6742 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 70.

The spelling of 90553589881225 in words is "ninety trillion, five hundred fifty-three billion, five hundred eighty-nine million, eight hundred eighty-one thousand, two hundred twenty-five".