9007891729225 has 27 divisors (see below), whose sum is σ = 11275248420597. Its totient is φ = 7138903848480.

The previous prime is 9007891729211. The next prime is 9007891729231. The reversal of 9007891729225 is 5229271987009.

The square root of 9007891729225 is 3001315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33026156361 + 8974865572864 = 181731^2 + 2995808^2 .

It is not a de Polignac number, because 9007891729225 - 2⁷ = 9007891729097 is a prime.

It is a super-5 number, since 5×9007891729225⁵ (a number of 66 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1635713922 + ... + 1635719428.

Almost surely, 2^{9007891729225} is an apocalyptic number.

9007891729225 is the 3001315-th square number.

9007891729225 is the 1500658-th centered octagonal number.

It is an amenable number.

9007891729225 is a deficient number, since it is larger than the sum of its proper divisors (2267356691372).

9007891729225 is an frugal number, since it uses more digits than its factorization.

9007891729225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11242 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 61.

The spelling of 9007891729225 in words is "nine trillion, seven billion, eight hundred ninety-one million, seven hundred twenty-nine thousand, two hundred twenty-five".