819531924091024 has 45 divisors (see below), whose sum is σ = 1592263090179801. Its totient is φ = 408628478232000.

The previous prime is 819531924091019. The next prime is 819531924091099. The reversal of 819531924091024 is 420190429135918.

The square root of 819531924091024 is 28627468.

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., 440619226228624 + 378912697862400 = 20990932^2 + 19465680^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 819531924091024.

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 8 ways as a sum of consecutive naturals, for example, 42025113274 + ... + 42025132774.

Almost surely, 2^{819531924091024} is an apocalyptic number.

819531924091024 is the 28627468-th square number.

It is an amenable number.

819531924091024 is a deficient number, since it is larger than the sum of its proper divisors (772731166088777).

819531924091024 is an frugal number, since it uses more digits than its factorization.

819531924091024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39744 (or 19870 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 58.

The spelling of 819531924091024 in words is "eight hundred nineteen trillion, five hundred thirty-one billion, nine hundred twenty-four million, ninety-one thousand, twenty-four".