82528465221 has 20 divisors (see below), whose sum is σ = 123321927564. Its totient is φ = 55001721600.

The previous prime is 82528465211. The next prime is 82528465259. The reversal of 82528465221 is 12256482528.

82528465221 is a `hidden beast` number, since 82 + 5 + 2 + 8 + 46 + 522 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74340749025 + 8187716196 = 272655^2 + 90486^2 .

It is not a de Polignac number, because 82528465221 - 2²⁵ = 82494910789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82528465211) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 102741 + ... + 419061.

Almost surely, 2^82528465221 is an apocalyptic number.

82528465221 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82528465221 is a deficient number, since it is larger than the sum of its proper divisors (40793462343).

82528465221 is a wasteful number, since it uses less digits than its factorization.

82528465221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319554 (or 319545 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 82528465221 in words is "eighty-two billion, five hundred twenty-eight million, four hundred sixty-five thousand, two hundred twenty-one".