825201001 has 2 divisors, whose sum is σ = 825201002. Its totient is φ = 825201000.

The previous prime is 825200983. The next prime is 825201017. The reversal of 825201001 is 100102528.

825201001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 600201001 + 225000000 = 24499^2 + 15000^2 .

It is a cyclic number.

It is not a de Polignac number, because 825201001 - 2²¹ = 823103849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825201001.

It is not a weakly prime, because it can be changed into another prime (825201101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412600500 + 412600501.

It is an arithmetic number, because the mean of its divisors is an integer number (412600501).

Almost surely, 2^825201001 is an apocalyptic number.

It is an amenable number.

825201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

825201001 is an equidigital number, since it uses as much as digits as its factorization.

825201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 825201001 is about 28726.3119978879. The cubic root of 825201001 is about 937.9648898104.

Adding to 825201001 its reverse (100102528), we get a palindrome (925303529).

It can be divided in two parts, 82520 and 1001, that added together give a 4-th power (83521 = 17⁴).

The spelling of 825201001 in words is "eight hundred twenty-five million, two hundred one thousand, one".