Search a number
-
+
505124441 is a prime number
BaseRepresentation
bin11110000110111…
…001011001011001
31022012110222110122
4132012321121121
52013302440231
6122042323025
715342326003
oct3606713131
91265428418
10505124441
1123a147518
121211b9475
138085a703
144b12b373
152e52b77b
hex1e1b9659

505124441 has 2 divisors, whose sum is σ = 505124442. Its totient is φ = 505124440.

The previous prime is 505124419. The next prime is 505124461. The reversal of 505124441 is 144421505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 502656400 + 2468041 = 22420^2 + 1571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505124441 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505124441.

It is not a weakly prime, because it can be changed into another prime (505124461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252562220 + 252562221.

It is an arithmetic number, because the mean of its divisors is an integer number (252562221).

Almost surely, 2505124441 is an apocalyptic number.

It is an amenable number.

505124441 is a deficient number, since it is larger than the sum of its proper divisors (1).

505124441 is an equidigital number, since it uses as much as digits as its factorization.

505124441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 505124441 is about 22474.9736596064. The cubic root of 505124441 is about 796.4028293847.

Adding to 505124441 its reverse (144421505), we get a palindrome (649545946).

It can be divided in two parts, 5051 and 24441, that added together give a palindrome (29492).

The spelling of 505124441 in words is "five hundred five million, one hundred twenty-four thousand, four hundred forty-one".