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57516112120613 is a prime number
BaseRepresentation
bin11010001001111100000110…
…11011101000101100100101
321112122111010202010111010112
431010332003123220230211
530014320444200324423
6322154312004502405
715054254606344406
oct1504760333505445
9245574122114115
1057516112120613
111736549a939593
12654b0116aaa05
13261299124ac43
14102bb1a85d9ad
1569b1d5733a78
hex344f836e8b25

57516112120613 has 2 divisors, whose sum is σ = 57516112120614. Its totient is φ = 57516112120612.

The previous prime is 57516112120603. The next prime is 57516112120667. The reversal of 57516112120613 is 31602121161575.

It is a happy number.

57516112120613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47839327893604 + 9676784227009 = 6916598^2 + 3110753^2 .

It is a cyclic number.

It is not a de Polignac number, because 57516112120613 - 244 = 39923926076197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57516112120603) 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, 28758056060306 + 28758056060307.

It is an arithmetic number, because the mean of its divisors is an integer number (28758056060307).

Almost surely, 257516112120613 is an apocalyptic number.

It is an amenable number.

57516112120613 is a deficient number, since it is larger than the sum of its proper divisors (1).

57516112120613 is an equidigital number, since it uses as much as digits as its factorization.

57516112120613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 57516112120613 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty thousand, six hundred thirteen".