82177302852 has 36 divisors (see below), whose sum is σ = 207938665116. Its totient is φ = 27364385280.

The previous prime is 82177302841. The next prime is 82177302913. The reversal of 82177302852 is 25820377128.

It can be written as a sum of positive squares in 2 ways, for example, as 79047571716 + 3129731136 = 281154^2 + 55944^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 82177302798 and 82177302807.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1133049 + ... + 1203392.

It is an arithmetic number, because the mean of its divisors is an integer number (5776074031).

Almost surely, 2^82177302852 is an apocalyptic number.

It is an amenable number.

82177302852 is an abundant number, since it is smaller than the sum of its proper divisors (125761362264).

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

82177302852 is a wasteful number, since it uses less digits than its factorization.

82177302852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337428 (or 2337423 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 82177302852 in words is "eighty-two billion, one hundred seventy-seven million, three hundred two thousand, eight hundred fifty-two".