Search a number
-
+
505105597 is a prime number
BaseRepresentation
bin11110000110110…
…100110010111101
31022012110000121201
4132012310302331
52013301334342
6122042055501
715342220033
oct3606646275
91265400551
10505105597
1123a134347
121211aa591
1380851c69
144b124553
152e525db7
hex1e1b4cbd

505105597 has 2 divisors, whose sum is σ = 505105598. Its totient is φ = 505105596.

The previous prime is 505105589. The next prime is 505105603. The reversal of 505105597 is 795501505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 288014841 + 217090756 = 16971^2 + 14734^2 .

It is a cyclic number.

It is not a de Polignac number, because 505105597 - 23 = 505105589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505105397) 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, 252552798 + 252552799.

It is an arithmetic number, because the mean of its divisors is an integer number (252552799).

Almost surely, 2505105597 is an apocalyptic number.

It is an amenable number.

505105597 is a deficient number, since it is larger than the sum of its proper divisors (1).

505105597 is an equidigital number, since it uses as much as digits as its factorization.

505105597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39375, while the sum is 37.

The square root of 505105597 is about 22474.5544338481. The cubic root of 505105597 is about 796.3929258175.

The spelling of 505105597 in words is "five hundred five million, one hundred five thousand, five hundred ninety-seven".