58511 has 2 divisors, whose sum is σ = 58512. Its totient is φ = 58510.

The previous prime is 58481. The next prime is 58537. The reversal of 58511 is 11585.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 58511 - 2¹⁰ = 57487 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58511.

It is not a weakly prime, because it can be changed into another prime (58111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29255 + 29256.

It is an arithmetic number, because the mean of its divisors is an integer number (29256).

2⁵⁸⁵¹¹ is an apocalyptic number.

58511 is a deficient number, since it is larger than the sum of its proper divisors (1).

58511 is an equidigital number, since it uses as much as digits as its factorization.

58511 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 200, while the sum is 20.

The square root of 58511 is about 241.8904710814. The cubic root of 58511 is about 38.8221133732.

Subtracting from 58511 its product of digits (200), we obtain a triangular number (58311 = T₃₄₁).

The spelling of 58511 in words is "fifty-eight thousand, five hundred eleven".