99576349652025 has 297 divisors, whose sum is σ = 190616328782607. Its totient is φ = 51600748096800.

The previous prime is 99576349652011. The next prime is 99576349652029. The reversal of 99576349652025 is 52025694367599.

The square root of 99576349652025 is 9978795.

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

99576349652025 is a `hidden beast` number, since 9 + 9 + 5 + 7 + 6 + 3 + 4 + 96 + 520 + 2 + 5 = 666.

99576349652025 is digitally balanced in base 4, 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 only one way, i.e., 35847485874729 + 63728863777296 = 5987277^2 + 7983036^2 .

It is not a de Polignac number, because 99576349652025 - 2⁷ = 99576349651897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99576349652029) by changing a digit.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 521342144680 + ... + 521342144870.

Almost surely, 2^{99576349652025} is an apocalyptic number.

99576349652025 is the 9978795-th square number.

99576349652025 is the 4989398-th centered octagonal number.

It is an amenable number.

99576349652025 is a deficient number, since it is larger than the sum of its proper divisors (91039979130582).

99576349652025 is an frugal number, since it uses more digits than its factorization.

99576349652025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1102248000, while the sum is 72.

The spelling of 99576349652025 in words is "ninety-nine trillion, five hundred seventy-six billion, three hundred forty-nine million, six hundred fifty-two thousand, twenty-five".