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578358700013 is a prime number
BaseRepresentation
bin10000110101010001101…
…11010110011111101101
32001021211210221002221002
420122220313112133231
533433434311400023
61121405550050045
756533160556653
oct10325067263755
92037753832832
10578358700013
1120330a454606
129410b1a9925
1342701219663
141ddc7dd6dd3
151009ee95b28
hex86a8dd67ed

578358700013 has 2 divisors, whose sum is σ = 578358700014. Its totient is φ = 578358700012.

The previous prime is 578358699923. The next prime is 578358700093. The reversal of 578358700013 is 310007853875.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 577846266244 + 512433769 = 760162^2 + 22637^2 .

It is a cyclic number.

It is not a de Polignac number, because 578358700013 - 210 = 578358698989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (578358700093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 289179350006 + 289179350007.

It is an arithmetic number, because the mean of its divisors is an integer number (289179350007).

Almost surely, 2578358700013 is an apocalyptic number.

It is an amenable number.

578358700013 is a deficient number, since it is larger than the sum of its proper divisors (1).

578358700013 is an equidigital number, since it uses as much as digits as its factorization.

578358700013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 578358700013 in words is "five hundred seventy-eight billion, three hundred fifty-eight million, seven hundred thousand, thirteen".