201106825 has 24 divisors (see below), whose sum is σ = 261197568. Its totient is φ = 153310080.

The previous prime is 201106819. The next prime is 201106879. The reversal of 201106825 is 528601102.

It is not a de Polignac number, because 201106825 - 2²¹ = 199009673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 201106825.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210549 + ... + 211501.

It is an arithmetic number, because the mean of its divisors is an integer number (10883232).

Almost surely, 2^201106825 is an apocalyptic number.

201106825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201106825 is a deficient number, since it is larger than the sum of its proper divisors (60090743).

201106825 is a wasteful number, since it uses less digits than its factorization.

201106825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 201106825 is about 14181.2138055951. The cubic root of 201106825 is about 585.8803556597.

Adding to 201106825 its reverse (528601102), we get a palindrome (729707927).

The spelling of 201106825 in words is "two hundred one million, one hundred six thousand, eight hundred twenty-five".