Search a number
-
+
252233131333 is a prime number
BaseRepresentation
bin1110101011101001000…
…1000010010101000101
3220010001120010200102011
43222322101002111011
513113033140200313
6311512503214221
724136400145511
oct3527221022505
9803046120364
10252233131333
1197a76032937
1240a74447371
131aa29920891
14c2cb235141
156863dcc93d
hex3aba442545

252233131333 has 2 divisors, whose sum is σ = 252233131334. Its totient is φ = 252233131332.

The previous prime is 252233131331. The next prime is 252233131349. The reversal of 252233131333 is 333131332252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190935789444 + 61297341889 = 436962^2 + 247583^2 .

It is a cyclic number.

It is not a de Polignac number, because 252233131333 - 21 = 252233131331 is a prime.

Together with 252233131331, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 252233131295 and 252233131304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252233131331) 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, 126116565666 + 126116565667.

It is an arithmetic number, because the mean of its divisors is an integer number (126116565667).

Almost surely, 2252233131333 is an apocalyptic number.

It is an amenable number.

252233131333 is a deficient number, since it is larger than the sum of its proper divisors (1).

252233131333 is an equidigital number, since it uses as much as digits as its factorization.

252233131333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29160, while the sum is 31.

Adding to 252233131333 its reverse (333131332252), we get a palindrome (585364463585).

The spelling of 252233131333 in words is "two hundred fifty-two billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred thirty-three".