813553488784 has 15 divisors (see below), whose sum is σ = 1576266874833. Its totient is φ = 406774940448.

The previous prime is 813553488763. The next prime is 813553488851. The reversal of 813553488784 is 487884355318.

The square root of 813553488784 is 901972.

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., 788295379600 + 25258109184 = 887860^2 + 158928^2 .

It is a super-2 number, since 2×813553488784² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 3495142 + ... + 3720634.

Almost surely, 2^813553488784 is an apocalyptic number.

813553488784 is the 901972-nd square number.

It is an amenable number.

813553488784 is a deficient number, since it is larger than the sum of its proper divisors (762713386049).

813553488784 is an frugal number, since it uses more digits than its factorization.

813553488784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450994 (or 225495 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 64.

Multiplying 813553488784 by its sum of digits (64), we get a square (52067423282176 = 7215776²).

The spelling of 813553488784 in words is "eight hundred thirteen billion, five hundred fifty-three million, four hundred eighty-eight thousand, seven hundred eighty-four".