9032519322225 has 675 divisors, whose sum is σ = 20654271763697. Its totient is φ = 3901942316160.

The previous prime is 9032519322193. The next prime is 9032519322247. The reversal of 9032519322225 is 5222239152309.

The square root of 9032519322225 is 3005415.

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

9032519322225 is a `hidden beast` number, since 90 + 3 + 2 + 5 + 19 + 322 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124156864881 + 8908362457344 = 352359^2 + 2984688^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is not a de Polignac number, because 9032519322225 - 2⁵ = 9032519322193 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 192181262152 + ... + 192181262198.

Almost surely, 2^{9032519322225} is an apocalyptic number.

9032519322225 is the 3005415-th square number.

9032519322225 is the 1502708-th centered octagonal number.

It is an amenable number.

9032519322225 is an abundant number, since it is smaller than the sum of its proper divisors (11621752441472).

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

9032519322225 is an frugal number, since it uses more digits than its factorization.

9032519322225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 9032519322225 in words is "nine trillion, thirty-two billion, five hundred nineteen million, three hundred twenty-two thousand, two hundred twenty-five".