528401 has 2 divisors, whose sum is σ = 528402. Its totient is φ = 528400.

The previous prime is 528391. The next prime is 528403. The reversal of 528401 is 104825.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 524176 + 4225 = 724^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 528401 - 2¹⁰ = 527377 is a prime.

Together with 528403, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528401.

It is not a weakly prime, because it can be changed into another prime (528403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 264200 + 264201.

It is an arithmetic number, because the mean of its divisors is an integer number (264201).

2⁵²⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

528401 is a deficient number, since it is larger than the sum of its proper divisors (1).

528401 is an equidigital number, since it uses as much as digits as its factorization.

528401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 528401 is about 726.9119616570. The cubic root of 528401 is about 80.8452565636.

It can be divided in two parts, 528 and 401, that added together give a palindrome (929).

The spelling of 528401 in words is "five hundred twenty-eight thousand, four hundred one".