Search a number
-
+
505611131 is a prime number
BaseRepresentation
bin11110001000110…
…000001101111011
31022020101201002012
4132020300031323
52013414024011
6122101000135
715346423634
oct3610601573
91266351065
10505611131
1123a44a143
121213b304b
138099b0ac
144b21688b
152e5c5a8b
hex1e23037b

505611131 has 2 divisors, whose sum is σ = 505611132. Its totient is φ = 505611130.

The previous prime is 505611103. The next prime is 505611133. The reversal of 505611131 is 131116505.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505611131 is a prime.

It is a super-2 number, since 2×5056111312 = 511285231582198322, which contains 22 as substring.

Together with 505611133, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 505611097 and 505611106.

It is not a weakly prime, because it can be changed into another prime (505611133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252805565 + 252805566.

It is an arithmetic number, because the mean of its divisors is an integer number (252805566).

Almost surely, 2505611131 is an apocalyptic number.

505611131 is a deficient number, since it is larger than the sum of its proper divisors (1).

505611131 is an equidigital number, since it uses as much as digits as its factorization.

505611131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 505611131 is about 22485.7984292308. The cubic root of 505611131 is about 796.6585266894.

Adding to 505611131 its reverse (131116505), we get a palindrome (636727636).

The spelling of 505611131 in words is "five hundred five million, six hundred eleven thousand, one hundred thirty-one".