8125521280900 has 81 divisors (see below), whose sum is σ = 17930012160333. Its totient is φ = 3196242278400.

The previous prime is 8125521280897. The next prime is 8125521280937. The reversal of 8125521280900 is 90821255218.

The square root of 8125521280900 is 2850530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5384933738116 + 2740587542784 = 2320546^2 + 1655472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1738820964 + ... + 1738825636.

Almost surely, 2^{8125521280900} is an apocalyptic number.

8125521280900 is the 2850530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8125521280900

8125521280900 is an abundant number, since it is smaller than the sum of its proper divisors (9804490879433).

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

8125521280900 is an frugal number, since it uses more digits than its factorization.

8125521280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 8125521280900 in words is "eight trillion, one hundred twenty-five billion, five hundred twenty-one million, two hundred eighty thousand, nine hundred".