82051310916 has 27 divisors (see below), whose sum is σ = 207411824893. Its totient is φ = 27349864080.

The previous prime is 82051310879. The next prime is 82051310947. The reversal of 82051310916 is 61901315028.

The square root of 82051310916 is 286446.

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

82051310916 is a `hidden beast` number, since 8 + 20 + 513 + 109 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3437316 + 82047873600 = 1854^2 + 286440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1694806 + ... + 1742546.

Almost surely, 2^82051310916 is an apocalyptic number.

82051310916 is the 286446-th square number.

It is an amenable number.

82051310916 is an abundant number, since it is smaller than the sum of its proper divisors (125360513977).

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

82051310916 is an frugal number, since it uses more digits than its factorization.

82051310916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95492 (or 47746 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 82051310916 by its sum of digits (36), we get a square (2953847192976 = 1718676²).

82051310916 divided by its sum of digits (36) gives a square (2279203081 = 47741²).

The spelling of 82051310916 in words is "eighty-two billion, fifty-one million, three hundred ten thousand, nine hundred sixteen".