90279216225 has 135 divisors (see below), whose sum is σ = 184116263331. Its totient is φ = 43699629600.

The previous prime is 90279216133. The next prime is 90279216239. The reversal of 90279216225 is 52261297209.

The square root of 90279216225 is 300465.

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., 32500517841 + 57778698384 = 180279^2 + 240372^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 90279216225 - 2⁹ = 90279215713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 148729872 + ... + 148730478.

Almost surely, 2^90279216225 is an apocalyptic number.

90279216225 is the 300465-th square number.

90279216225 is the 150233-rd centered octagonal number.

It is an amenable number.

90279216225 is an abundant number, since it is smaller than the sum of its proper divisors (93837047106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90279216225 is an equidigital number, since it uses as much as digits as its factorization.

90279216225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 90279216225 in words is "ninety billion, two hundred seventy-nine million, two hundred sixteen thousand, two hundred twenty-five".