528137 has 2 divisors, whose sum is σ = 528138. Its totient is φ = 528136.

The previous prime is 528131. The next prime is 528163. The reversal of 528137 is 731825.

It is an a-pointer prime, because the next prime (528163) can be obtained adding 528137 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 395641 + 132496 = 629^2 + 364^2 .

It is a cyclic number.

It is not a de Polignac number, because 528137 - 2⁸ = 527881 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528137.

It is not a weakly prime, because it can be changed into another prime (528131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 264068 + 264069.

It is an arithmetic number, because the mean of its divisors is an integer number (264069).

2⁵²⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

528137 is a deficient number, since it is larger than the sum of its proper divisors (1).

528137 is an equidigital number, since it uses as much as digits as its factorization.

528137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 26.

The square root of 528137 is about 726.7303488915. The cubic root of 528137 is about 80.8317903367.

The spelling of 528137 in words is "five hundred twenty-eight thousand, one hundred thirty-seven".