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513682367841059 is a prime number
BaseRepresentation
bin111010011001100001111111…
…1000100000000001100100011
32111100210112222102120002111012
41310303003333010000030203
51014312132442131403214
65020302231053211135
7213125216640612524
oct16463037704001443
92440715872502435
10513682367841059
11139747517a7a17a
1249743101790aab
131908206884a4a1
1490bc505b4c84b
153e5c0cd1e403e
hex1d330ff100323

513682367841059 has 2 divisors, whose sum is σ = 513682367841060. Its totient is φ = 513682367841058.

The previous prime is 513682367840977. The next prime is 513682367841121. The reversal of 513682367841059 is 950148763286315.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-513682367841059 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513682367841059.

It is not a weakly prime, because it can be changed into another prime (513682367843059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256841183920529 + 256841183920530.

It is an arithmetic number, because the mean of its divisors is an integer number (256841183920530).

It is a 1-persistent number, because it is pandigital, but 2⋅513682367841059 = 1027364735682118 is not.

Almost surely, 2513682367841059 is an apocalyptic number.

513682367841059 is a deficient number, since it is larger than the sum of its proper divisors (1).

513682367841059 is an equidigital number, since it uses as much as digits as its factorization.

513682367841059 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 261273600, while the sum is 68.

The spelling of 513682367841059 in words is "five hundred thirteen trillion, six hundred eighty-two billion, three hundred sixty-seven million, eight hundred forty-one thousand, fifty-nine".