10580413 has 2 divisors, whose sum is σ = 10580414. Its totient is φ = 10580412.

The previous prime is 10580399. The next prime is 10580429. The reversal of 10580413 is 31408501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9998244 + 582169 = 3162^2 + 763^2 .

It is a cyclic number.

It is not a de Polignac number, because 10580413 - 2²¹ = 8483261 is a prime.

It is a super-2 number, since 2×10580413² = 223890278501138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10580513) 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, 5290206 + 5290207.

It is an arithmetic number, because the mean of its divisors is an integer number (5290207).

Almost surely, 2^10580413 is an apocalyptic number.

It is an amenable number.

10580413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580413 is an equidigital number, since it uses as much as digits as its factorization.

10580413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10580413 is about 3252.7546787300. The cubic root of 10580413 is about 219.5335364550.

Adding to 10580413 its reverse (31408501), we get a palindrome (41988914).

The spelling of 10580413 in words is "ten million, five hundred eighty thousand, four hundred thirteen".