58106013 has 24 divisors (see below), whose sum is σ = 90512352. Its totient is φ = 33060384.

The previous prime is 58105991. The next prime is 58106039. The reversal of 58106013 is 31060185.

It is not a de Polignac number, because 58106013 - 2¹⁰ = 58104989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58106093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40006 + ... + 41432.

It is an arithmetic number, because the mean of its divisors is an integer number (3771348).

Almost surely, 2^58106013 is an apocalyptic number.

It is an amenable number.

58106013 is a deficient number, since it is larger than the sum of its proper divisors (32406339).

58106013 is a wasteful number, since it uses less digits than its factorization.

58106013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 58106013 is about 7622.7300227674. The cubic root of 58106013 is about 387.3233614632.

Adding to 58106013 its reverse (31060185), we get a palindrome (89166198).

It can be divided in two parts, 5 and 8106013, that added together give a palindrome (8106018).

The spelling of 58106013 in words is "fifty-eight million, one hundred six thousand, thirteen".