10058013 has 40 divisors (see below), whose sum is σ = 17478208. Its totient is φ = 5668704.

The previous prime is 10058003. The next prime is 10058021. The reversal of 10058013 is 31085001.

It is a happy number.

It is not a de Polignac number, because 10058013 - 2⁹ = 10057501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10058003) 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 in 39 ways as a sum of consecutive naturals, for example, 137745 + ... + 137817.

Almost surely, 2^10058013 is an apocalyptic number.

It is an amenable number.

10058013 is a deficient number, since it is larger than the sum of its proper divisors (7420195).

10058013 is an frugal number, since it uses more digits than its factorization.

10058013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

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

The square root of 10058013 is about 3171.4370559732. The cubic root of 10058013 is about 215.8592833478.

The spelling of 10058013 in words is "ten million, fifty-eight thousand, thirteen".