Search a number
-
+
252153334061341 is a prime number
BaseRepresentation
bin111001010101010100000101…
…111001111101100100011101
31020001210121211101201112220021
4321111110011321331210131
5231022240012004430331
62252141350440552141
7104053322452412506
oct7125240571754435
91201717741645807
10252153334061341
11733866a04a9a69
1224345009482651
13aa90c5a47241b
14463a402193bad
151e2414833b211
hexe55505e7d91d

252153334061341 has 2 divisors, whose sum is σ = 252153334061342. Its totient is φ = 252153334061340.

The previous prime is 252153334061339. The next prime is 252153334061357. The reversal of 252153334061341 is 143160433351252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135833873538841 + 116319460522500 = 11654779^2 + 10785150^2 .

It is a cyclic number.

It is not a de Polignac number, because 252153334061341 - 21 = 252153334061339 is a prime.

Together with 252153334061339, 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 (252153334061371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126076667030670 + 126076667030671.

It is an arithmetic number, because the mean of its divisors is an integer number (126076667030671).

Almost surely, 2252153334061341 is an apocalyptic number.

It is an amenable number.

252153334061341 is a deficient number, since it is larger than the sum of its proper divisors (1).

252153334061341 is an equidigital number, since it uses as much as digits as its factorization.

252153334061341 is an evil number, because the sum of its binary digits is even.

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

The spelling of 252153334061341 in words is "two hundred fifty-two trillion, one hundred fifty-three billion, three hundred thirty-four million, sixty-one thousand, three hundred forty-one".