Search a number
-
+
506541557 is a prime number
BaseRepresentation
bin11110001100010…
…011010111110101
31022022010222101102
4132030103113311
52014133312212
6122132535445
715360350354
oct3614232765
91268128342
10506541557
1123aa25195
12121781585
1380c35742
144b3b999b
152e70b5c2
hex1e3135f5

506541557 has 2 divisors, whose sum is σ = 506541558. Its totient is φ = 506541556.

The previous prime is 506541551. The next prime is 506541589. The reversal of 506541557 is 755145605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 454499761 + 52041796 = 21319^2 + 7214^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506541557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506541557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506541551) 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, 253270778 + 253270779.

It is an arithmetic number, because the mean of its divisors is an integer number (253270779).

Almost surely, 2506541557 is an apocalyptic number.

It is an amenable number.

506541557 is a deficient number, since it is larger than the sum of its proper divisors (1).

506541557 is an equidigital number, since it uses as much as digits as its factorization.

506541557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105000, while the sum is 38.

The square root of 506541557 is about 22506.4781118681. The cubic root of 506541557 is about 797.1468977935.

The spelling of 506541557 in words is "five hundred six million, five hundred forty-one thousand, five hundred fifty-seven".