825027201 has 10 divisors (see below), whose sum is σ = 1232448162. Its totient is φ = 550018080.

The previous prime is 825027199. The next prime is 825027209. The reversal of 825027201 is 102720528.

It can be written as a sum of positive squares in only one way, i.e., 809345601 + 15681600 = 28449^2 + 3960^2 .

It is not a de Polignac number, because 825027201 - 2¹ = 825027199 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825027209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5092680 + ... + 5092841.

Almost surely, 2^825027201 is an apocalyptic number.

825027201 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

825027201 is a deficient number, since it is larger than the sum of its proper divisors (407420961).

825027201 is a wasteful number, since it uses less digits than its factorization.

825027201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185533 (or 10185524 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 825027201 is about 28723.2867374192. The cubic root of 825027201 is about 937.8990352515.

Adding to 825027201 its reverse (102720528), we get a palindrome (927747729).

The spelling of 825027201 in words is "eight hundred twenty-five million, twenty-seven thousand, two hundred one".