9925140625 has 21 divisors (see below), whose sum is σ = 12421852717. Its totient is φ = 7930150000.

The previous prime is 9925140601. The next prime is 9925140629. The reversal of 9925140625 is 5260415299.

The square root of 9925140625 is 99625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 8118550609 + 1806590016 = 90103^2 + 42504^2 .

It is not a de Polignac number, because 9925140625 - 2⁵ = 9925140593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9925140629) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12452727 + ... + 12453523.

Almost surely, 2^9925140625 is an apocalyptic number.

9925140625 is the 99625-th square number.

9925140625 is the 49813-rd centered octagonal number.

It is an amenable number.

9925140625 is a deficient number, since it is larger than the sum of its proper divisors (2496712092).

9925140625 is an frugal number, since it uses more digits than its factorization.

9925140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The cubic root of 9925140625 is about 2149.0452313798.

It can be divided in two parts, 99251 and 40625, that added together give a square (139876 = 374²).

The spelling of 9925140625 in words is "nine billion, nine hundred twenty-five million, one hundred forty thousand, six hundred twenty-five".