Search a number
-
+
905536885961 is a prime number
BaseRepresentation
bin11010010110101100011…
…01000101010011001001
310012120100102102000212202
431023112031011103021
5104314014420322321
61531555314045545
7122265022350131
oct15132615052311
93176312360782
10905536885961
1131a043a68204
121275ba5798b5
13675129160a6
1431b848c1ac1
151884d68570b
hexd2d63454c9

905536885961 has 2 divisors, whose sum is σ = 905536885962. Its totient is φ = 905536885960.

The previous prime is 905536885907. The next prime is 905536886099. The reversal of 905536885961 is 169588635509.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 905435983936 + 100902025 = 951544^2 + 10045^2 .

It is an emirp because it is prime and its reverse (169588635509) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-905536885961 is a prime.

It is not a weakly prime, because it can be changed into another prime (905536885901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452768442980 + 452768442981.

It is an arithmetic number, because the mean of its divisors is an integer number (452768442981).

Almost surely, 2905536885961 is an apocalyptic number.

It is an amenable number.

905536885961 is a deficient number, since it is larger than the sum of its proper divisors (1).

905536885961 is an equidigital number, since it uses as much as digits as its factorization.

905536885961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984000, while the sum is 65.

The spelling of 905536885961 in words is "nine hundred five billion, five hundred thirty-six million, eight hundred eighty-five thousand, nine hundred sixty-one".