10580013 has 12 divisors (see below), whose sum is σ = 15321280. Its totient is φ = 7035336.

The previous prime is 10579999. The next prime is 10580047. The reversal of 10580013 is 31008501.

It is a happy number.

It is not a de Polignac number, because 10580013 - 2⁴ = 10579997 is a prime.

It is a super-2 number, since 2×10580013² = 223873350160338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2898 + ... + 5436.

Almost surely, 2^10580013 is an apocalyptic number.

It is an amenable number.

10580013 is a deficient number, since it is larger than the sum of its proper divisors (4741267).

10580013 is a wasteful number, since it uses less digits than its factorization.

10580013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10580013 is about 3252.6931918028. The cubic root of 10580013 is about 219.5307698799.

Adding to 10580013 its reverse (31008501), we get a palindrome (41588514).

The spelling of 10580013 in words is "ten million, five hundred eighty thousand, thirteen".