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205385000813 is a prime number
BaseRepresentation
bin1011111101000111100…
…1100110011101101101
3201122010122010001212222
42333101321212131231
511331112030011223
6234204053205125
720560426462556
oct2772171463555
9648118101788
10205385000813
117a115529aa3
123397b0307a5
13164a1b6a1a5
149d2536132d
1555210ca0c8
hex2fd1e6676d

205385000813 has 2 divisors, whose sum is σ = 205385000814. Its totient is φ = 205385000812.

The previous prime is 205385000801. The next prime is 205385000851. The reversal of 205385000813 is 318000583502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201266185129 + 4118815684 = 448627^2 + 64178^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205385000813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205385000893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102692500406 + 102692500407.

It is an arithmetic number, because the mean of its divisors is an integer number (102692500407).

Almost surely, 2205385000813 is an apocalyptic number.

It is an amenable number.

205385000813 is a deficient number, since it is larger than the sum of its proper divisors (1).

205385000813 is an equidigital number, since it uses as much as digits as its factorization.

205385000813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 205385000813 in words is "two hundred five billion, three hundred eighty-five million, eight hundred thirteen", and thus it is an aban number.