10585121 has 2 divisors, whose sum is σ = 10585122. Its totient is φ = 10585120.

The previous prime is 10585117. The next prime is 10585123. The reversal of 10585121 is 12158501.

10585121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10144225 + 440896 = 3185^2 + 664^2 .

It is an emirp because it is prime and its reverse (12158501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10585121 - 2² = 10585117 is a prime.

It is a super-2 number, since 2×10585121² = 224089573169282, which contains 22 as substring.

Together with 10585123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10585123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292560 + 5292561.

It is an arithmetic number, because the mean of its divisors is an integer number (5292561).

Almost surely, 2^10585121 is an apocalyptic number.

It is an amenable number.

10585121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585121 is an equidigital number, since it uses as much as digits as its factorization.

10585121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 23.

The square root of 10585121 is about 3253.4782925355. The cubic root of 10585121 is about 219.5660938049.

The spelling of 10585121 in words is "ten million, five hundred eighty-five thousand, one hundred twenty-one".