Search a number
-
+
825007969 is a prime number
BaseRepresentation
bin110001001011001…
…001111101100001
32010111101202011201
4301023021331201
53142200223334
6213510441201
726305311022
oct6113117541
92114352151
10825007969
11393771775
121b0363201
13101bca8c6
147b7d8c49
154c666c14
hex312c9f61

825007969 has 2 divisors, whose sum is σ = 825007970. Its totient is φ = 825007968.

The previous prime is 825007913. The next prime is 825007973. The reversal of 825007969 is 969700528.

825007969 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., 807241744 + 17766225 = 28412^2 + 4215^2 .

It is a cyclic number.

It is not a de Polignac number, because 825007969 - 211 = 825005921 is a prime.

It is a super-2 number, since 2×8250079692 = 1361276297827009922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (825007069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412503984 + 412503985.

It is an arithmetic number, because the mean of its divisors is an integer number (412503985).

Almost surely, 2825007969 is an apocalyptic number.

It is an amenable number.

825007969 is a deficient number, since it is larger than the sum of its proper divisors (1).

825007969 is an equidigital number, since it uses as much as digits as its factorization.

825007969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 825007969 is about 28722.9519548392. The cubic root of 825007969 is about 937.8917474860.

The spelling of 825007969 in words is "eight hundred twenty-five million, seven thousand, nine hundred sixty-nine".