Search a number
-
+
10510509857 is a prime number
BaseRepresentation
bin10011100100111100…
…11010011100100001
31000010111101012222212
421302132122130201
5133011142303412
64454540411505
7521313600611
oct116236323441
930114335885
1010510509857
1145039aa691
122053b46b95
13cb66b2203
14719c92a41
15417b00222
hex27279a721

10510509857 has 2 divisors, whose sum is σ = 10510509858. Its totient is φ = 10510509856.

The previous prime is 10510509853. The next prime is 10510509869. The reversal of 10510509857 is 75890501501.

10510509857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9705993361 + 804516496 = 98519^2 + 28364^2 .

It is a cyclic number.

It is not a de Polignac number, because 10510509857 - 22 = 10510509853 is a prime.

It is a super-2 number, since 2×105105098572 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10510509853) 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, 5255254928 + 5255254929.

It is an arithmetic number, because the mean of its divisors is an integer number (5255254929).

Almost surely, 210510509857 is an apocalyptic number.

It is an amenable number.

10510509857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10510509857 is an equidigital number, since it uses as much as digits as its factorization.

10510509857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63000, while the sum is 41.

The spelling of 10510509857 in words is "ten billion, five hundred ten million, five hundred nine thousand, eight hundred fifty-seven".