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52126540313 is a prime number
BaseRepresentation
bin110000100010111110…
…111110001000011001
311222112210021121112012
4300202332332020121
51323223343242223
635540244355305
73523513165511
oct604276761031
9158483247465
1052126540313
112011a089291
12a1290a5b35
134bb94c0bc3
142746d28841
151551400c78
hexc22fbe219

52126540313 has 2 divisors, whose sum is σ = 52126540314. Its totient is φ = 52126540312.

The previous prime is 52126540307. The next prime is 52126540339. The reversal of 52126540313 is 31304562125.

It is a happy number.

52126540313 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., 49491566089 + 2634974224 = 222467^2 + 51332^2 .

It is a cyclic number.

It is not a de Polignac number, because 52126540313 - 222 = 52122346009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52126540313.

It is not a weakly prime, because it can be changed into another prime (52126540363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26063270156 + 26063270157.

It is an arithmetic number, because the mean of its divisors is an integer number (26063270157).

Almost surely, 252126540313 is an apocalyptic number.

It is an amenable number.

52126540313 is a deficient number, since it is larger than the sum of its proper divisors (1).

52126540313 is an equidigital number, since it uses as much as digits as its factorization.

52126540313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 52126540313 in words is "fifty-two billion, one hundred twenty-six million, five hundred forty thousand, three hundred thirteen".