8182051600 has 30 divisors (see below), whose sum is σ = 19657379930. Its totient is φ = 3272820480.

The previous prime is 8182051589. The next prime is 8182051609. The reversal of 8182051600 is 61502818.

It can be written as a sum of positive squares in 3 ways, for example, as 1040449536 + 7141602064 = 32256^2 + 84508^2 .

It is not an unprimeable number, because it can be changed into a prime (8182051609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10227165 + ... + 10227964.

Almost surely, 2^8182051600 is an apocalyptic number.

8182051600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8182051600 is an abundant number, since it is smaller than the sum of its proper divisors (11475328330).

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

8182051600 is a wasteful number, since it uses less digits than its factorization.

8182051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20455147 (or 20455136 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 8182051600 is about 90454.6936316740. The cubic root of 8182051600 is about 2015.0573207263.

The spelling of 8182051600 in words is "eight billion, one hundred eighty-two million, fifty-one thousand, six hundred".