825245064900 has 243 divisors, whose sum is σ = 2620344416781. Its totient is φ = 217238316480.

The previous prime is 825245064887. The next prime is 825245064937. The reversal of 825245064900 is 9460542528.

The square root of 825245064900 is 908430.

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

825245064900 is a `hidden beast` number, since 8 + 2 + 52 + 4 + 506 + 4 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 297088223364 + 528156841536 = 545058^2 + 726744^2 .

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

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, 2916060159 + ... + 2916060441.

Almost surely, 2^825245064900 is an apocalyptic number.

825245064900 is the 908430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825245064900

825245064900 is an abundant number, since it is smaller than the sum of its proper divisors (1795099351881).

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

825245064900 is a wasteful number, since it uses less digits than its factorization.

825245064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 825245064900 in words is "eight hundred twenty-five billion, two hundred forty-five million, sixty-four thousand, nine hundred".