59113 has 2 divisors, whose sum is σ = 59114. Its totient is φ = 59112.

The previous prime is 59107. The next prime is 59119. The reversal of 59113 is 31195.

It is a balanced prime because it is at equal distance from previous prime (59107) and next prime (59119).

It can be written as a sum of positive squares in only one way, i.e., 59049 + 64 = 243^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 59113 - 2⁹ = 58601 is a prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (59119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29556 + 29557.

It is an arithmetic number, because the mean of its divisors is an integer number (29557).

2⁵⁹¹¹³ is an apocalyptic number.

It is an amenable number.

59113 is a deficient number, since it is larger than the sum of its proper divisors (1).

59113 is an equidigital number, since it uses as much as digits as its factorization.

59113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 135, while the sum is 19.

The square root of 59113 is about 243.1316515800. The cubic root of 59113 is about 38.9548019015.

The spelling of 59113 in words is "fifty-nine thousand, one hundred thirteen".