580090133 has 32 divisors (see below), whose sum is σ = 715080960. Its totient is φ = 459325440.

The previous prime is 580090117. The next prime is 580090171. The reversal of 580090133 is 331090085.

It is not a de Polignac number, because 580090133 - 2⁴ = 580090117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 580090096 and 580090105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580090333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406893 + ... + 2407133.

It is an arithmetic number, because the mean of its divisors is an integer number (22346280).

Almost surely, 2^580090133 is an apocalyptic number.

It is an amenable number.

580090133 is a deficient number, since it is larger than the sum of its proper divisors (134990827).

580090133 is a wasteful number, since it uses less digits than its factorization.

580090133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 580090133 is about 24085.0603694489. The cubic root of 580090133 is about 833.9982886557.

The spelling of 580090133 in words is "five hundred eighty million, ninety thousand, one hundred thirty-three".