813322580000 has 270 divisors, whose sum is σ = 2330130137643. Its totient is φ = 278547360000.

The previous prime is 813322579999. The next prime is 813322580009. The reversal of 813322580000 is 85223318.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

813322580000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 188040180496 + 625282399504 = 433636^2 + 790748^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=637700.

It is a super-2 number, since 2×813322580000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (813322580009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 892779545 + ... + 892780455.

Almost surely, 2^813322580000 is an apocalyptic number.

813322580000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813322580000

813322580000 is an abundant number, since it is smaller than the sum of its proper divisors (1516807557643).

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

813322580000 is an frugal number, since it uses more digits than its factorization.

813322580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Multiplying 813322580000 by its sum of digits (32), we get a square (26026322560000 = 5101600²).

813322580000 divided by its sum of digits (32) gives a square (25416330625 = 159425²).

The spelling of 813322580000 in words is "eight hundred thirteen billion, three hundred twenty-two million, five hundred eighty thousand".