45259 has 2 divisors, whose sum is σ = 45260. Its totient is φ = 45258.

The previous prime is 45247. The next prime is 45263. The reversal of 45259 is 95254.

45259 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45259 - 2⁷ = 45131 is a prime.

It is a plaindrome in base 12.

It is not a weakly prime, because it can be changed into another prime (45289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22629 + 22630.

It is an arithmetic number, because the mean of its divisors is an integer number (22630).

2⁴⁵²⁵⁹ is an apocalyptic number.

45259 is a deficient number, since it is larger than the sum of its proper divisors (1).

45259 is an equidigital number, since it uses as much as digits as its factorization.

45259 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1800, while the sum is 25.

The square root of 45259 is about 212.7416273323. The cubic root of 45259 is about 35.6370421996.

The spelling of 45259 in words is "forty-five thousand, two hundred fifty-nine".