45053 has 2 divisors, whose sum is σ = 45054. Its totient is φ = 45052.

The previous prime is 45013. The next prime is 45061. The reversal of 45053 is 35054.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 3844 = 203^2 + 62^2 .

It is a cyclic number.

It is not a de Polignac number, because 45053 - 2⁸ = 44797 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

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 45053.

It is not a weakly prime, because it can be changed into another prime (45013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22526 + 22527.

It is an arithmetic number, because the mean of its divisors is an integer number (22527).

2⁴⁵⁰⁵³ is an apocalyptic number.

It is an amenable number.

45053 is a deficient number, since it is larger than the sum of its proper divisors (1).

45053 is an equidigital number, since it uses as much as digits as its factorization.

45053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 45053 is about 212.2569197930. The cubic root of 45053 is about 35.5828916659.

Subtracting from 45053 its reverse (35054), we obtain a palindrome (9999).

The spelling of 45053 in words is "forty-five thousand, fifty-three".