813062890000 has 225 divisors, whose sum is σ = 2012467734651. Its totient is φ = 318119760000.

The previous prime is 813062889979. The next prime is 813062890001. The reversal of 813062890000 is 98260318.

The square root of 813062890000 is 901700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 63744130576 + 749318759424 = 252476^2 + 865632^2 .

It is a super-2 number, since 2×813062890000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813062890001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6402069937 + ... + 6402070063.

Almost surely, 2^813062890000 is an apocalyptic number.

813062890000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

813062890000 is the 901700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813062890000

813062890000 is an abundant number, since it is smaller than the sum of its proper divisors (1199404844651).

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

813062890000 is an frugal number, since it uses more digits than its factorization.

813062890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 813062890000 in words is "eight hundred thirteen billion, sixty-two million, eight hundred ninety thousand".