10580849 has 2 divisors, whose sum is σ = 10580850. Its totient is φ = 10580848.

The previous prime is 10580821. The next prime is 10580863. The reversal of 10580849 is 94808501.

10580849 is digitally balanced in base 2, 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., 5880625 + 4700224 = 2425^2 + 2168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10580849 is a prime.

It is a super-2 number, since 2×10580849² = 223908731121602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10580809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5290424 + 5290425.

It is an arithmetic number, because the mean of its divisors is an integer number (5290425).

Almost surely, 2^10580849 is an apocalyptic number.

It is an amenable number.

10580849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580849 is an equidigital number, since it uses as much as digits as its factorization.

10580849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 10580849 is about 3252.8216981568. The cubic root of 10580849 is about 219.5365519424.

The spelling of 10580849 in words is "ten million, five hundred eighty thousand, eight hundred forty-nine".