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513161152201 is a prime number
BaseRepresentation
bin1110111011110101100…
…10011100011011001001
31211001120002020111222001
413131322302130123021
531401423223332301
61031424252231001
752034416552435
oct7357262343311
91731502214861
10513161152201
111886a3101995
128355476b461
1339510a247b9
141aba113b9c5
15d5362b8c01
hex777ac9c6c9

513161152201 has 2 divisors, whose sum is σ = 513161152202. Its totient is φ = 513161152200.

The previous prime is 513161152177. The next prime is 513161152237. The reversal of 513161152201 is 102251161315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 494456486976 + 18704665225 = 703176^2 + 136765^2 .

It is a cyclic number.

It is not a de Polignac number, because 513161152201 - 213 = 513161144009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513161152201.

It is not a weakly prime, because it can be changed into another prime (513161152241) 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, 256580576100 + 256580576101.

It is an arithmetic number, because the mean of its divisors is an integer number (256580576101).

Almost surely, 2513161152201 is an apocalyptic number.

It is an amenable number.

513161152201 is a deficient number, since it is larger than the sum of its proper divisors (1).

513161152201 is an equidigital number, since it uses as much as digits as its factorization.

513161152201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 513161152201 in words is "five hundred thirteen billion, one hundred sixty-one million, one hundred fifty-two thousand, two hundred one".