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199507820257 is a prime number
BaseRepresentation
bin1011100111001110010…
…1111011111011100001
3201001222001011100211001
42321303211323323201
511232043000222012
6231352544552001
720261663330434
oct2716345737341
9631861140731
10199507820257
1177679a66289
12327ba922601
1315a76374765
1499289a381b
1552ca153357
hex2e7397bee1

199507820257 has 2 divisors, whose sum is σ = 199507820258. Its totient is φ = 199507820256.

The previous prime is 199507820251. The next prime is 199507820263. The reversal of 199507820257 is 752028705991.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (199507820251) and next prime (199507820263).

It can be written as a sum of positive squares in only one way, i.e., 175346537536 + 24161282721 = 418744^2 + 155439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-199507820257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 199507820198 and 199507820207.

It is not a weakly prime, because it can be changed into another prime (199507820251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99753910128 + 99753910129.

It is an arithmetic number, because the mean of its divisors is an integer number (99753910129).

Almost surely, 2199507820257 is an apocalyptic number.

It is an amenable number.

199507820257 is a deficient number, since it is larger than the sum of its proper divisors (1).

199507820257 is an equidigital number, since it uses as much as digits as its factorization.

199507820257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3175200, while the sum is 55.

The spelling of 199507820257 in words is "one hundred ninety-nine billion, five hundred seven million, eight hundred twenty thousand, two hundred fifty-seven".