580113105 has 64 divisors (see below), whose sum is σ = 1096139520. Its totient is φ = 258278400.

The previous prime is 580113101. The next prime is 580113109. The reversal of 580113105 is 501311085.

It is an interprime number because it is at equal distance from previous prime (580113101) and next prime (580113109).

It is not a de Polignac number, because 580113105 - 2² = 580113101 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (580113101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490615 + ... + 491795.

It is an arithmetic number, because the mean of its divisors is an integer number (17127180).

Almost surely, 2^580113105 is an apocalyptic number.

580113105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

580113105 is a deficient number, since it is larger than the sum of its proper divisors (516026415).

580113105 is a wasteful number, since it uses less digits than its factorization.

580113105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442.

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 580113105 is about 24085.5372578649. The cubic root of 580113105 is about 834.0092974942.

It can be divided in two parts, 58011 and 3105, that added together give a palindrome (61116).

The spelling of 580113105 in words is "five hundred eighty million, one hundred thirteen thousand, one hundred five".