10821529 has 2 divisors, whose sum is σ = 10821530. Its totient is φ = 10821528.

The previous prime is 10821527. The next prime is 10821541. The reversal of 10821529 is 92512801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6901129 + 3920400 = 2627^2 + 1980^2 .

It is an emirp because it is prime and its reverse (92512801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10821529 - 2¹ = 10821527 is a prime.

Together with 10821527, it forms a pair of twin primes.

It is equal to p₇₁₅₄₈₃ and since 10821529 and 715483 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 10821497 and 10821506.

It is not a weakly prime, because it can be changed into another prime (10821527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5410764 + 5410765.

It is an arithmetic number, because the mean of its divisors is an integer number (5410765).

Almost surely, 2^10821529 is an apocalyptic number.

It is an amenable number.

10821529 is a deficient number, since it is larger than the sum of its proper divisors (1).

10821529 is an equidigital number, since it uses as much as digits as its factorization.

10821529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 10821529 is about 3289.6092473119. The cubic root of 10821529 is about 221.1886693083.

The spelling of 10821529 in words is "ten million, eight hundred twenty-one thousand, five hundred twenty-nine".