82654528105 has 48 divisors (see below), whose sum is σ = 112753895184. Its totient is φ = 57918136320.

The previous prime is 82654528081. The next prime is 82654528109. The reversal of 82654528105 is 50182545628.

It can be written as a sum of positive squares in 8 ways, for example, as 15488549209 + 67165978896 = 124453^2 + 259164^2 .

It is not a de Polignac number, because 82654528105 - 2¹⁵ = 82654495337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82654528109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1638865 + ... + 1688545.

It is an arithmetic number, because the mean of its divisors is an integer number (2349039483).

Almost surely, 2^82654528105 is an apocalyptic number.

82654528105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82654528105 is a deficient number, since it is larger than the sum of its proper divisors (30099367079).

82654528105 is a wasteful number, since it uses less digits than its factorization.

82654528105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49786 (or 49763 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 46.

The spelling of 82654528105 in words is "eighty-two billion, six hundred fifty-four million, five hundred twenty-eight thousand, one hundred five".