819213250816 has 27 divisors (see below), whose sum is σ = 1635255357141. Its totient is φ = 409599384576.

The previous prime is 819213250813. The next prime is 819213250829. The reversal of 819213250816 is 618052312918.

The square root of 819213250816 is 905104.

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., 796206428416 + 23006822400 = 892304^2 + 151680^2 .

It is a super-2 number, since 2×819213250816² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (819213250811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14453380 + ... + 14509948.

Almost surely, 2^819213250816 is an apocalyptic number.

819213250816 is the 905104-th square number.

It is an amenable number.

819213250816 is a deficient number, since it is larger than the sum of its proper divisors (816042106325).

819213250816 is an frugal number, since it uses more digits than its factorization.

819213250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113154 (or 56571 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 819213250816 in words is "eight hundred nineteen billion, two hundred thirteen million, two hundred fifty thousand, eight hundred sixteen".