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768541201 is a prime number
BaseRepresentation
bin101101110011110…
…000001000010001
31222120010221022221
4231303300020101
53033221304301
6204132301041
725021330621
oct5563601021
91876127287
10768541201
1136490441a
12195471781
13c32b9c0c
14740da881
1547710da1
hex2dcf0211

768541201 has 2 divisors, whose sum is σ = 768541202. Its totient is φ = 768541200.

The previous prime is 768541199. The next prime is 768541211. The reversal of 768541201 is 102145867.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 458816400 + 309724801 = 21420^2 + 17599^2 .

It is an emirp because it is prime and its reverse (102145867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768541201 - 21 = 768541199 is a prime.

Together with 768541199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (768541211) 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, 384270600 + 384270601.

It is an arithmetic number, because the mean of its divisors is an integer number (384270601).

Almost surely, 2768541201 is an apocalyptic number.

It is an amenable number.

768541201 is a deficient number, since it is larger than the sum of its proper divisors (1).

768541201 is an equidigital number, since it uses as much as digits as its factorization.

768541201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 768541201 is about 27722.5756559523. The cubic root of 768541201 is about 915.9864548158.

The spelling of 768541201 in words is "seven hundred sixty-eight million, five hundred forty-one thousand, two hundred one".