9052817264100 has 405 divisors, whose sum is σ = 29728899541803. Its totient is φ = 2382961680000.

The previous prime is 9052817264059. The next prime is 9052817264131. The reversal of 9052817264100 is 14627182509.

The square root of 9052817264100 is 3008790.

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

9052817264100 is a `hidden beast` number, since 9 + 0 + 5 + 281 + 7 + 264 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1671554208996 + 7381263055104 = 1292886^2 + 2716848^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27349900935 + ... + 27349901265.

Almost surely, 2^{9052817264100} is an apocalyptic number.

9052817264100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9052817264100 is the 3008790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9052817264100

9052817264100 is an abundant number, since it is smaller than the sum of its proper divisors (20676082277703).

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

9052817264100 is a wasteful number, since it uses less digits than its factorization.

9052817264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 9052817264100 in words is "nine trillion, fifty-two billion, eight hundred seventeen million, two hundred sixty-four thousand, one hundred".