528405201 has 48 divisors (see below), whose sum is σ = 825552000. Its totient is φ = 337333248.

The previous prime is 528405191. The next prime is 528405233. The reversal of 528405201 is 102504825.

It is a happy number.

528405201 is a `hidden beast` number, since 52 + 8 + 405 + 201 = 666.

It is not a de Polignac number, because 528405201 - 2²³ = 520016593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (528405281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176625 + ... + 1177073.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 2^528405201 is an apocalyptic number.

It is an amenable number.

528405201 is a deficient number, since it is larger than the sum of its proper divisors (297146799).

528405201 is a wasteful number, since it uses less digits than its factorization.

528405201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 528405201 is about 22987.0659502251. The cubic root of 528405201 is about 808.4547081378.

The spelling of 528405201 in words is "five hundred twenty-eight million, four hundred five thousand, two hundred one".