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75201067013 is a prime number
BaseRepresentation
bin100011000001001010…
…1010011100000000101
321012002220002000112012
41012002111103200011
52213002433121023
654314043504005
75301360344222
oct1060225234005
9235086060465
1075201067013
1129990050766
12126a8828005
137125b450b7
1438d5696949
151e52032978
hex1182553805

75201067013 has 2 divisors, whose sum is σ = 75201067014. Its totient is φ = 75201067012.

The previous prime is 75201067003. The next prime is 75201067061. The reversal of 75201067013 is 31076010257.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44640083524 + 30560983489 = 211282^2 + 174817^2 .

It is an emirp because it is prime and its reverse (31076010257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75201067013 - 212 = 75201062917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75201067003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37600533506 + 37600533507.

It is an arithmetic number, because the mean of its divisors is an integer number (37600533507).

Almost surely, 275201067013 is an apocalyptic number.

It is an amenable number.

75201067013 is a deficient number, since it is larger than the sum of its proper divisors (1).

75201067013 is an equidigital number, since it uses as much as digits as its factorization.

75201067013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 75201067013 in words is "seventy-five billion, two hundred one million, sixty-seven thousand, thirteen".