Search a number
-
+
53105070313 is a prime number
BaseRepresentation
bin110001011101010011…
…110001000011101001
312002001222120002100001
4301131103301003221
51332224344222223
640221321543001
73556664435611
oct613523610351
9162058502301
1053105070313
1120581478369
12a360944a61
135014151839
1427dac87a41
1515ac2909ad
hexc5d4f10e9

53105070313 has 2 divisors, whose sum is σ = 53105070314. Its totient is φ = 53105070312.

The previous prime is 53105070289. The next prime is 53105070331. The reversal of 53105070313 is 31307050135.

53105070313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (53105070331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35544315024 + 17560755289 = 188532^2 + 132517^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53105070313 is a prime.

It is not a weakly prime, because it can be changed into another prime (53105070013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26552535156 + 26552535157.

It is an arithmetic number, because the mean of its divisors is an integer number (26552535157).

Almost surely, 253105070313 is an apocalyptic number.

It is an amenable number.

53105070313 is a deficient number, since it is larger than the sum of its proper divisors (1).

53105070313 is an equidigital number, since it uses as much as digits as its factorization.

53105070313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4725, while the sum is 28.

The spelling of 53105070313 in words is "fifty-three billion, one hundred five million, seventy thousand, three hundred thirteen".