Search a number
-
+
259373248361 is a prime number
BaseRepresentation
bin1111000110001111011…
…0011010111101101001
3220210111011112012121222
43301203312122331221
513222144022421421
6315053204511425
724511340143313
oct3614366327551
9823434465558
10259373248361
119aaaa4894a7
12423276ab575
131b5c6c751b6
14c7a76267b3
156b30b72cab
hex3c63d9af69

259373248361 has 2 divisors, whose sum is σ = 259373248362. Its totient is φ = 259373248360.

The previous prime is 259373248327. The next prime is 259373248367. The reversal of 259373248361 is 163842373952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158547312400 + 100825935961 = 398180^2 + 317531^2 .

It is a cyclic number.

It is not a de Polignac number, because 259373248361 - 234 = 242193379177 is a prime.

It is not a weakly prime, because it can be changed into another prime (259373248367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129686624180 + 129686624181.

It is an arithmetic number, because the mean of its divisors is an integer number (129686624181).

Almost surely, 2259373248361 is an apocalyptic number.

It is an amenable number.

259373248361 is a deficient number, since it is larger than the sum of its proper divisors (1).

259373248361 is an equidigital number, since it uses as much as digits as its factorization.

259373248361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6531840, while the sum is 53.

The spelling of 259373248361 in words is "two hundred fifty-nine billion, three hundred seventy-three million, two hundred forty-eight thousand, three hundred sixty-one".