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64536013 is a prime number
BaseRepresentation
bin1111011000101…
…1110111001101
311111102202202201
43312023313031
5113010123023
610223121501
71412355433
oct366136715
9144382681
1064536013
1133479953
1219743291
13104a77b9
1487dcd53
1559ebbad
hex3d8bdcd

64536013 has 2 divisors, whose sum is σ = 64536014. Its totient is φ = 64536012.

The previous prime is 64536011. The next prime is 64536047. The reversal of 64536013 is 31063546.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47914084 + 16621929 = 6922^2 + 4077^2 .

It is a cyclic number.

It is not a de Polignac number, because 64536013 - 21 = 64536011 is a prime.

Together with 64536011, 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 (64536011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32268006 + 32268007.

It is an arithmetic number, because the mean of its divisors is an integer number (32268007).

Almost surely, 264536013 is an apocalyptic number.

It is an amenable number.

64536013 is a deficient number, since it is larger than the sum of its proper divisors (1).

64536013 is an equidigital number, since it uses as much as digits as its factorization.

64536013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 64536013 is about 8033.4309606793. The cubic root of 64536013 is about 401.1135906626.

Adding to 64536013 its reverse (31063546), we get a palindrome (95599559).

The spelling of 64536013 in words is "sixty-four million, five hundred thirty-six thousand, thirteen".