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506111606617 is a prime number
BaseRepresentation
bin1110101110101101001…
…10100011111101011001
31210101100210021111102011
413113112212203331121
531243004032402432
61024300544105521
751364626450421
oct7272646437531
91711323244364
10506111606617
11185705897a61
12821079052a1
1338959392256
141a6d2ba5481
15d272464847
hex75d69a3f59

506111606617 has 2 divisors, whose sum is σ = 506111606618. Its totient is φ = 506111606616.

The previous prime is 506111606593. The next prime is 506111606681. The reversal of 506111606617 is 716606111605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 438079839376 + 68031767241 = 661876^2 + 260829^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506111606617 is a prime.

It is a super-2 number, since 2×5061116066172 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506111606617.

It is not a weakly prime, because it can be changed into another prime (506111606417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253055803308 + 253055803309.

It is an arithmetic number, because the mean of its divisors is an integer number (253055803309).

Almost surely, 2506111606617 is an apocalyptic number.

It is an amenable number.

506111606617 is a deficient number, since it is larger than the sum of its proper divisors (1).

506111606617 is an equidigital number, since it uses as much as digits as its factorization.

506111606617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 506111606617 in words is "five hundred six billion, one hundred eleven million, six hundred six thousand, six hundred seventeen".