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218057513 is a prime number
BaseRepresentation
bin11001111111101…
…00101100101001
3120012022110200012
430333310230221
5421310320023
633345421305
75255313122
oct1477645451
9505273605
10218057513
111020a6923
126103a835
133623a51b
1420d63049
1514224978
hexcff4b29

218057513 has 2 divisors, whose sum is σ = 218057514. Its totient is φ = 218057512.

The previous prime is 218057479. The next prime is 218057551. The reversal of 218057513 is 315750812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199713424 + 18344089 = 14132^2 + 4283^2 .

It is a cyclic number.

It is not a de Polignac number, because 218057513 - 26 = 218057449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 218057513.

It is not a weakly prime, because it can be changed into another prime (218057573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109028756 + 109028757.

It is an arithmetic number, because the mean of its divisors is an integer number (109028757).

Almost surely, 2218057513 is an apocalyptic number.

It is an amenable number.

218057513 is a deficient number, since it is larger than the sum of its proper divisors (1).

218057513 is an equidigital number, since it uses as much as digits as its factorization.

218057513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 218057513 is about 14766.7705677308. The cubic root of 218057513 is about 601.8990873996.

The spelling of 218057513 in words is "two hundred eighteen million, fifty-seven thousand, five hundred thirteen".