9971100867025 has 81 divisors (see below), whose sum is σ = 13376991895569. Its totient is φ = 7371750738240.

The previous prime is 9971100867017. The next prime is 9971100867047. The reversal of 9971100867025 is 5207680011799.

It is a happy number.

The square root of 9971100867025 is 3157705.

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

9971100867025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3867196977361 + 6103903889664 = 1966519^2 + 2470608^2 .

It is not a de Polignac number, because 9971100867025 - 2³ = 9971100867017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12899224539 + ... + 12899225311.

Almost surely, 2^{9971100867025} is an apocalyptic number.

9971100867025 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9971100867025 is the 3157705-th square number.

9971100867025 is the 1578853-rd centered octagonal number.

It is an amenable number.

9971100867025 is a deficient number, since it is larger than the sum of its proper divisors (3405891028544).

9971100867025 is an frugal number, since it uses more digits than its factorization.

9971100867025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 55.

The spelling of 9971100867025 in words is "nine trillion, nine hundred seventy-one billion, one hundred million, eight hundred sixty-seven thousand, twenty-five".