82610731325952 has 160 divisors (see below), whose sum is σ = 248542250045760. Its totient is φ = 27085485404160.

The previous prime is 82610731325893. The next prime is 82610731325981. The reversal of 82610731325952 is 25952313701628.

82610731325952 is a `hidden beast` number, since 8 + 2 + 6 + 10 + 7 + 3 + 1 + 32 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48139458 + ... + 49825985.

It is an arithmetic number, because the mean of its divisors is an integer number (1553389062786).

Almost surely, 2^{82610731325952} is an apocalyptic number.

It is an amenable number.

82610731325952 is an abundant number, since it is smaller than the sum of its proper divisors (165931518719808).

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

82610731325952 is an equidigital number, since it uses as much as digits as its factorization.

82610731325952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97965531 (or 97965509 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 82610731325952 in words is "eighty-two trillion, six hundred ten billion, seven hundred thirty-one million, three hundred twenty-five thousand, nine hundred fifty-two".