82511000221 has 8 divisors (see below), whose sum is σ = 91259568344. Its totient is φ = 74105513280.

The previous prime is 82511000203. The next prime is 82511000249. The reversal of 82511000221 is 12200011528.

82511000221 = 203114² + 203115².

It can be written as a sum of positive squares in 4 ways, for example, as 15941840121 + 66569160100 = 126261^2 + 258010^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82511000221 - 2²³ = 82502611613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82511000192 and 82511000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82511000291) 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 7 ways as a sum of consecutive naturals, for example, 85769790 + ... + 85770751.

It is an arithmetic number, because the mean of its divisors is an integer number (11407446043).

Almost surely, 2^82511000221 is an apocalyptic number.

82511000221 is the 203115-th centered square number.

It is an amenable number.

82511000221 is a deficient number, since it is larger than the sum of its proper divisors (8748568123).

82511000221 is a wasteful number, since it uses less digits than its factorization.

82511000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171540591.

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 82511000221 its reverse (12200011528), we get a palindrome (94711011749).

The spelling of 82511000221 in words is "eighty-two billion, five hundred eleven million, two hundred twenty-one", and thus it is an aban number.