825207101 has 2 divisors, whose sum is σ = 825207102. Its totient is φ = 825207100.

The previous prime is 825207083. The next prime is 825207113. The reversal of 825207101 is 101702528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 825183076 + 24025 = 28726^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 825207101 - 2⁶ = 825207037 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (825207401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412603550 + 412603551.

It is an arithmetic number, because the mean of its divisors is an integer number (412603551).

Almost surely, 2^825207101 is an apocalyptic number.

It is an amenable number.

825207101 is a deficient number, since it is larger than the sum of its proper divisors (1).

825207101 is an equidigital number, since it uses as much as digits as its factorization.

825207101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 825207101 is about 28726.4181721286. The cubic root of 825207101 is about 937.9672009935.

Adding to 825207101 its reverse (101702528), we get a palindrome (926909629).

The spelling of 825207101 in words is "eight hundred twenty-five million, two hundred seven thousand, one hundred one".