Search a number
-
+
252031313 is a prime number
BaseRepresentation
bin11110000010110…
…11000101010001
3122120020111222002
433001123011101
51004010000223
641001523345
76150142112
oct1701330521
9576214862
10252031313
1111a2a0946
12704a3555
13402a4171
1425688209
15171d5e28
hexf05b151

252031313 has 2 divisors, whose sum is σ = 252031314. Its totient is φ = 252031312.

The previous prime is 252031289. The next prime is 252031319. The reversal of 252031313 is 313130252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208167184 + 43864129 = 14428^2 + 6623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252031313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (252031319) 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, 126015656 + 126015657.

It is an arithmetic number, because the mean of its divisors is an integer number (126015657).

Almost surely, 2252031313 is an apocalyptic number.

It is an amenable number.

252031313 is a deficient number, since it is larger than the sum of its proper divisors (1).

252031313 is an equidigital number, since it uses as much as digits as its factorization.

252031313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 252031313 is about 15875.4941025469. The cubic root of 252031313 is about 631.6621206091.

Adding to 252031313 its reverse (313130252), we get a palindrome (565161565).

It can be divided in two parts, 2520 and 31313, that added together give a palindrome (33833).

The spelling of 252031313 in words is "two hundred fifty-two million, thirty-one thousand, three hundred thirteen".