Search a number
-
+
52007821 is a prime number
BaseRepresentation
bin1100011001100…
…1001110001101
310121212021022121
43012121032031
5101303222241
65054412541
71201026205
oct306311615
9117767277
1052007821
11273a2278
1215501151
13aa0c278
146c9b405
154874ad1
hex319938d

52007821 has 2 divisors, whose sum is σ = 52007822. Its totient is φ = 52007820.

The previous prime is 52007819. The next prime is 52007831. The reversal of 52007821 is 12870025.

52007821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49070025 + 2937796 = 7005^2 + 1714^2 .

It is a cyclic number.

It is not a de Polignac number, because 52007821 - 21 = 52007819 is a prime.

Together with 52007819, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52007831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26003910 + 26003911.

It is an arithmetic number, because the mean of its divisors is an integer number (26003911).

Almost surely, 252007821 is an apocalyptic number.

It is an amenable number.

52007821 is a deficient number, since it is larger than the sum of its proper divisors (1).

52007821 is an equidigital number, since it uses as much as digits as its factorization.

52007821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 52007821 is about 7211.6448193183. The cubic root of 52007821 is about 373.2698275448.

Adding to 52007821 its reverse (12870025), we get a palindrome (64877846).

The spelling of 52007821 in words is "fifty-two million, seven thousand, eight hundred twenty-one".