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352064457257 is a prime number
BaseRepresentation
bin1010001111110001010…
…11010100101000101001
31020122201222101111022212
411013320223110220221
521232012000113012
6425423003054505
734302325340042
oct5077053245051
91218658344285
10352064457257
11126345231677
1258295811435
13272794c3676
141307bb098c9
1592583e9b22
hex51f8ad4a29

352064457257 has 2 divisors, whose sum is σ = 352064457258. Its totient is φ = 352064457256.

The previous prime is 352064457229. The next prime is 352064457313. The reversal of 352064457257 is 752754460253.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271137862681 + 80926594576 = 520709^2 + 284476^2 .

It is an emirp because it is prime and its reverse (752754460253) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-352064457257 is a prime.

It is a super-3 number, since 3×3520644572573 (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (352064457457) 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, 176032228628 + 176032228629.

It is an arithmetic number, because the mean of its divisors is an integer number (176032228629).

Almost surely, 2352064457257 is an apocalyptic number.

It is an amenable number.

352064457257 is a deficient number, since it is larger than the sum of its proper divisors (1).

352064457257 is an equidigital number, since it uses as much as digits as its factorization.

352064457257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056000, while the sum is 50.

The spelling of 352064457257 in words is "three hundred fifty-two billion, sixty-four million, four hundred fifty-seven thousand, two hundred fifty-seven".