82521208341 has 24 divisors (see below), whose sum is σ = 140035992096. Its totient is φ = 46165710240.

The previous prime is 82521208331. The next prime is 82521208349. The reversal of 82521208341 is 14380212528.

It is a happy number.

82521208341 is a `hidden beast` number, since 82 + 521 + 20 + 8 + 34 + 1 = 666.

It is not a de Polignac number, because 82521208341 - 2⁵ = 82521208309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82521208296 and 82521208305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82521208349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32058235 + ... + 32060808.

It is an arithmetic number, because the mean of its divisors is an integer number (5834833004).

Almost surely, 2^82521208341 is an apocalyptic number.

It is an amenable number.

82521208341 is a deficient number, since it is larger than the sum of its proper divisors (57514783755).

82521208341 is a wasteful number, since it uses less digits than its factorization.

82521208341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64119073 (or 64119070 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 82521208341 in words is "eighty-two billion, five hundred twenty-one million, two hundred eight thousand, three hundred forty-one".