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35046052241 is a prime number
BaseRepresentation
bin100000101000111010…
…000101000110010001
310100110102022220201212
4200220322011012101
51033233242132431
624033330305505
72350321346264
oct405072050621
9110412286655
1035046052241
1113954645842
126960a28295
1333c6929225
1419a6696cdb
15da1b2a72b
hex828e85191

35046052241 has 2 divisors, whose sum is σ = 35046052242. Its totient is φ = 35046052240.

The previous prime is 35046052231. The next prime is 35046052243. The reversal of 35046052241 is 14225064053.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20186442241 + 14859610000 = 142079^2 + 121900^2 .

It is an emirp because it is prime and its reverse (14225064053) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35046052241 - 234 = 17866183057 is a prime.

It is a super-3 number, since 3×350460522413 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 35046052243, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 35046052198 and 35046052207.

It is not a weakly prime, because it can be changed into another prime (35046052243) 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, 17523026120 + 17523026121.

It is an arithmetic number, because the mean of its divisors is an integer number (17523026121).

Almost surely, 235046052241 is an apocalyptic number.

It is an amenable number.

35046052241 is a deficient number, since it is larger than the sum of its proper divisors (1).

35046052241 is an equidigital number, since it uses as much as digits as its factorization.

35046052241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 35046052241 in words is "thirty-five billion, forty-six million, fifty-two thousand, two hundred forty-one".