Search a number
-
+
506631869 is a prime number
BaseRepresentation
bin11110001100101…
…001011010111101
31022022022120021022
4132030221122331
52014144204434
6122134513525
715361204562
oct3614513275
91268276238
10506631869
1123aa87027
121218058a5
1380c67893
144b400869
152e72822e
hex1e3296bd

506631869 has 2 divisors, whose sum is σ = 506631870. Its totient is φ = 506631868.

The previous prime is 506631863. The next prime is 506631871. The reversal of 506631869 is 968136605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262116100 + 244515769 = 16190^2 + 15637^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506631869 is a prime.

It is a super-2 number, since 2×5066318692 = 513351701372866322, which contains 22 as substring.

Together with 506631871, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p26686394 and since 506631869 and 26686394 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506631863) 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, 253315934 + 253315935.

It is an arithmetic number, because the mean of its divisors is an integer number (253315935).

Almost surely, 2506631869 is an apocalyptic number.

It is an amenable number.

506631869 is a deficient number, since it is larger than the sum of its proper divisors (1).

506631869 is an equidigital number, since it uses as much as digits as its factorization.

506631869 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 506631869 is about 22508.4843781184. The cubic root of 506631869 is about 797.1942697886.

The spelling of 506631869 in words is "five hundred six million, six hundred thirty-one thousand, eight hundred sixty-nine".