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511213117 is a prime number
BaseRepresentation
bin11110011110000…
…111111000111101
31022121221022120011
4132132013320331
52021332304432
6122421023221
715445145152
oct3636077075
91277838504
10511213117
11242625a88
12123254b11
1381bacb8c
144bc74229
152ed30847
hex1e787e3d

511213117 has 2 divisors, whose sum is σ = 511213118. Its totient is φ = 511213116.

The previous prime is 511213099. The next prime is 511213139. The reversal of 511213117 is 711312115.

It is an a-pointer prime, because the next prime (511213139) can be obtained adding 511213117 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316163961 + 195049156 = 17781^2 + 13966^2 .

It is a cyclic number.

It is not a de Polignac number, because 511213117 - 211 = 511211069 is a prime.

It is a super-2 number, since 2×5112131172 = 522677701985711378, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (511213147) 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, 255606558 + 255606559.

It is an arithmetic number, because the mean of its divisors is an integer number (255606559).

Almost surely, 2511213117 is an apocalyptic number.

It is an amenable number.

511213117 is a deficient number, since it is larger than the sum of its proper divisors (1).

511213117 is an equidigital number, since it uses as much as digits as its factorization.

511213117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 22.

The square root of 511213117 is about 22610.0224900375. The cubic root of 511213117 is about 799.5899549689.

The spelling of 511213117 in words is "five hundred eleven million, two hundred thirteen thousand, one hundred seventeen".