528053 has 2 divisors, whose sum is σ = 528054. Its totient is φ = 528052.

The previous prime is 528043. The next prime is 528091. The reversal of 528053 is 350825.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 362404 + 165649 = 602^2 + 407^2 .

It is a cyclic number.

It is not a de Polignac number, because 528053 - 2¹⁴ = 511669 is a prime.

It is a d-powerful number, because it can be written as 5³ + 2¹⁹ + 0 + 8³ + 5⁵ + 3 .

It is equal to p₄₃₆₈₂ and since 528053 and 43682 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (528013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 264026 + 264027.

It is an arithmetic number, because the mean of its divisors is an integer number (264027).

2⁵²⁸⁰⁵³ is an apocalyptic number.

It is an amenable number.

528053 is a deficient number, since it is larger than the sum of its proper divisors (1).

528053 is an equidigital number, since it uses as much as digits as its factorization.

528053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 528053 is about 726.6725534930. The cubic root of 528053 is about 80.8275046871.

Adding to 528053 its reverse (350825), we get a palindrome (878878).

The spelling of 528053 in words is "five hundred twenty-eight thousand, fifty-three".