Search a number
-
+
652008193 is a prime number
BaseRepresentation
bin100110110111001…
…101101100000001
31200102212110002121
4212313031230001
52313403230233
6144410444241
722104656344
oct4667155401
91612773077
10652008193
11305050451
12162433681
13a5108085
146284445b
153c39292d
hex26dcdb01

652008193 has 2 divisors, whose sum is σ = 652008194. Its totient is φ = 652008192.

The previous prime is 652008167. The next prime is 652008211. The reversal of 652008193 is 391800256.

652008193 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., 563967504 + 88040689 = 23748^2 + 9383^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-652008193 is a prime.

It is a super-2 number, since 2×6520081932 = 850229367478250498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (652008143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 326004096 + 326004097.

It is an arithmetic number, because the mean of its divisors is an integer number (326004097).

Almost surely, 2652008193 is an apocalyptic number.

It is an amenable number.

652008193 is a deficient number, since it is larger than the sum of its proper divisors (1).

652008193 is an equidigital number, since it uses as much as digits as its factorization.

652008193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 652008193 is about 25534.4511004251. The cubic root of 652008193 is about 867.1302781038.

The spelling of 652008193 in words is "six hundred fifty-two million, eight thousand, one hundred ninety-three".