82561386150 has 72 divisors (see below), whose sum is σ = 229463750880. Its totient is φ = 21257181120.

The previous prime is 82561386143. The next prime is 82561386163. The reversal of 82561386150 is 5168316528.

82561386150 is a `hidden beast` number, since 8 + 2 + 561 + 3 + 86 + 1 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 82561386096 and 82561386105.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3150222 + ... + 3176321.

It is an arithmetic number, because the mean of its divisors is an integer number (3186996540).

Almost surely, 2^82561386150 is an apocalyptic number.

82561386150 is an abundant number, since it is smaller than the sum of its proper divisors (146902364730).

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

82561386150 is a wasteful number, since it uses less digits than its factorization.

82561386150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326590 (or 6326582 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 82561386150 in words is "eighty-two billion, five hundred sixty-one million, three hundred eighty-six thousand, one hundred fifty".