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513833693 is a prime number
BaseRepresentation
bin11110101000000…
…111101011011101
31022210212110022112
4132220013223131
52023020134233
6122553123405
715506341262
oct3650075335
91283773275
10513833693
1124405594a
121240b9565
13825b9909
144c357269
153019c048
hex1ea07add

513833693 has 2 divisors, whose sum is σ = 513833694. Its totient is φ = 513833692.

The previous prime is 513833681. The next prime is 513833699. The reversal of 513833693 is 396338315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 513792889 + 40804 = 22667^2 + 202^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-513833693 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513833693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513833699) 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, 256916846 + 256916847.

It is an arithmetic number, because the mean of its divisors is an integer number (256916847).

Almost surely, 2513833693 is an apocalyptic number.

It is an amenable number.

513833693 is a deficient number, since it is larger than the sum of its proper divisors (1).

513833693 is an equidigital number, since it uses as much as digits as its factorization.

513833693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174960, while the sum is 41.

The square root of 513833693 is about 22667.9000571292. The cubic root of 513833693 is about 800.9539105537.

The spelling of 513833693 in words is "five hundred thirteen million, eight hundred thirty-three thousand, six hundred ninety-three".