52553 has 2 divisors, whose sum is σ = 52554. Its totient is φ = 52552.

The previous prime is 52543. The next prime is 52561. The reversal of 52553 is 35525.

52553 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 can be written as a sum of positive squares in only one way, i.e., 51529 + 1024 = 227^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 52553 - 2⁶ = 52489 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₅₃₆₆ and since 52553 and 5366 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (52543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26276 + 26277.

It is an arithmetic number, because the mean of its divisors is an integer number (26277).

2⁵²⁵⁵³ is an apocalyptic number.

It is an amenable number.

52553 is a deficient number, since it is larger than the sum of its proper divisors (1).

52553 is an equidigital number, since it uses as much as digits as its factorization.

52553 is an evil number, because the sum of its binary digits is even.

The product of its digits is 750, while the sum is 20.

The square root of 52553 is about 229.2444110551. The cubic root of 52553 is about 37.4569580233.

The spelling of 52553 in words is "fifty-two thousand, five hundred fifty-three".