825920201 has 2 divisors, whose sum is σ = 825920202. Its totient is φ = 825920200.

The previous prime is 825920171. The next prime is 825920213. The reversal of 825920201 is 102029528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 654336400 + 171583801 = 25580^2 + 13099^2 .

It is a cyclic number.

It is not a de Polignac number, because 825920201 - 2¹⁴ = 825903817 is a prime.

It is not a weakly prime, because it can be changed into another prime (825923201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412960100 + 412960101.

It is an arithmetic number, because the mean of its divisors is an integer number (412960101).

Almost surely, 2^825920201 is an apocalyptic number.

It is an amenable number.

825920201 is a deficient number, since it is larger than the sum of its proper divisors (1).

825920201 is an equidigital number, since it uses as much as digits as its factorization.

825920201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 825920201 is about 28738.8274117091. The cubic root of 825920201 is about 938.2373036288.

Adding to 825920201 its reverse (102029528), we get a palindrome (927949729).

The spelling of 825920201 in words is "eight hundred twenty-five million, nine hundred twenty thousand, two hundred one".