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60000013 is a prime number
BaseRepresentation
bin1110010011100…
…0011100001101
311011220022112201
43210320130031
5110330000023
65542001501
71325664103
oct344703415
9134808481
1060000013
1130960997
1218116291
13c579c88
147d7bc73
155402bad
hex393870d

60000013 has 2 divisors, whose sum is σ = 60000014. Its totient is φ = 60000012.

The previous prime is 60000011. The next prime is 60000023. The reversal of 60000013 is 31000006.

60000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (60000023) can be obtained adding 60000013 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31505769 + 28494244 = 5613^2 + 5338^2 .

It is a cyclic number.

It is not a de Polignac number, because 60000013 - 21 = 60000011 is a prime.

Together with 60000011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (60000011) 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, 30000006 + 30000007.

It is an arithmetic number, because the mean of its divisors is an integer number (30000007).

Almost surely, 260000013 is an apocalyptic number.

It is an amenable number.

60000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

60000013 is an equidigital number, since it uses as much as digits as its factorization.

60000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 60000013 is about 7745.9675315612. The cubic root of 60000013 is about 391.4867923909.

Subtracting from 60000013 its product of nonzero digits (18), we obtain a palindrome (59999995).

Adding to 60000013 its reverse (31000006), we get a palindrome (91000019).

The spelling of 60000013 in words is "sixty million, thirteen", and thus it is an aban number and an uban number.