111528001 has 12 divisors (see below), whose sum is σ = 121673772. Its totient is φ = 102176256.

The previous prime is 111527993. The next prime is 111528061. The reversal of 111528001 is 100825111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 34105600 + 77422401 = 5840^2 + 8799^2 .

It is not a de Polignac number, because 111528001 - 2³ = 111527993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111528001.

It is not an unprimeable number, because it can be changed into a prime (111528061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20745 + ... + 25561.

It is an arithmetic number, because the mean of its divisors is an integer number (10139481).

Almost surely, 2^111528001 is an apocalyptic number.

It is an amenable number.

111528001 is a deficient number, since it is larger than the sum of its proper divisors (10145771).

111528001 is a wasteful number, since it uses less digits than its factorization.

111528001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

The square root of 111528001 is about 10560.6818435175. The cubic root of 111528001 is about 481.3503656191.

The spelling of 111528001 in words is "one hundred eleven million, five hundred twenty-eight thousand, one".