8125219600 has 45 divisors (see below), whose sum is σ = 19525172277. Its totient is φ = 3249366720.

The previous prime is 8125219579. The next prime is 8125219601. The reversal of 8125219600 is 69125218.

The square root of 8125219600 is 90140.

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

It can be written as a sum of positive squares in only one way, i.e., 2925079056 + 5200140544 = 54084^2 + 72112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8125219601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1800547 + ... + 1805053.

Almost surely, 2^8125219600 is an apocalyptic number.

8125219600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8125219600 is the 90140-th square number.

It is an amenable number.

8125219600 is an abundant number, since it is smaller than the sum of its proper divisors (11399952677).

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

8125219600 is an frugal number, since it uses more digits than its factorization.

8125219600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9032 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The cubic root of 8125219600 is about 2010.3809909545.

The spelling of 8125219600 in words is "eight billion, one hundred twenty-five million, two hundred nineteen thousand, six hundred".