81282010000 has 75 divisors (see below), whose sum is σ = 196860924183. Its totient is φ = 32501400000.

The previous prime is 81282009967. The next prime is 81282010001. The reversal of 81282010000 is 1028218.

The square root of 81282010000 is 285100.

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 6372509584 + 74909500416 = 79828^2 + 273696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81282010001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28508575 + ... + 28511425.

Almost surely, 2^81282010000 is an apocalyptic number.

81282010000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

81282010000 is the 285100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81282010000

81282010000 is an abundant number, since it is smaller than the sum of its proper divisors (115578914183).

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

81282010000 is an frugal number, since it uses more digits than its factorization.

81282010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Multiplying 81282010000 by its product of nonzero digits (256), we get a square (20808194560000 = 4561600²).

Adding to 81282010000 its reverse (1028218), we get a palindrome (81283038218).

The spelling of 81282010000 in words is "eighty-one billion, two hundred eighty-two million, ten thousand".