201528569106 has 40 divisors (see below), whose sum is σ = 451750806540. Its totient is φ = 67149780192.

The previous prime is 201528569101. The next prime is 201528569111. The reversal of 201528569106 is 601965825102.

201528569106 is a `hidden beast` number, since 20 + 1 + 52 + 8 + 569 + 10 + 6 = 666.

201528569106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201528569101) and next prime (201528569111).

It can be written as a sum of positive squares in 2 ways, for example, as 201488765625 + 39803481 = 448875^2 + 6309^2 .

It is a super-2 number, since 2×201528569106² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201528569101) 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 19 ways as a sum of consecutive naturals, for example, 170980 + ... + 657488.

Almost surely, 2^201528569106 is an apocalyptic number.

201528569106 is an abundant number, since it is smaller than the sum of its proper divisors (250222237434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201528569106 is a wasteful number, since it uses less digits than its factorization.

201528569106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489080 (or 489071 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 201528569106 in words is "two hundred one billion, five hundred twenty-eight million, five hundred sixty-nine thousand, one hundred six".