Search a number
-
+
253531244293 is a prime number
BaseRepresentation
bin1110110000011110100…
…0111100011100000101
3220020102000202122121221
43230013220330130011
513123212444304133
6312245354240341
724213512006425
oct3540750743405
9806360678557
10253531244293
1198581861368
12411771260b1
131aba5847962
14c3b17c4485
1568dcd48a2d
hex3b07a3c705

253531244293 has 2 divisors, whose sum is σ = 253531244294. Its totient is φ = 253531244292.

The previous prime is 253531244261. The next prime is 253531244359. The reversal of 253531244293 is 392442135352.

It is a happy number.

253531244293 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., 215311776289 + 38219468004 = 464017^2 + 195498^2 .

It is a cyclic number.

It is not a de Polignac number, because 253531244293 - 25 = 253531244261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253531244233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126765622146 + 126765622147.

It is an arithmetic number, because the mean of its divisors is an integer number (126765622147).

Almost surely, 2253531244293 is an apocalyptic number.

It is an amenable number.

253531244293 is a deficient number, since it is larger than the sum of its proper divisors (1).

253531244293 is an equidigital number, since it uses as much as digits as its factorization.

253531244293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 777600, while the sum is 43.

The spelling of 253531244293 in words is "two hundred fifty-three billion, five hundred thirty-one million, two hundred forty-four thousand, two hundred ninety-three".