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6503100013 is a prime number
BaseRepresentation
bin1100000111001110…
…10110111001101101
3121210012201201011001
412003213112321231
5101304243200023
62553144000301
7320103303154
oct60347267155
917705651131
106503100013
112837915323
121315a60091
137c8397b97
1445997059b
15280db46ad
hex1839d6e6d

6503100013 has 2 divisors, whose sum is σ = 6503100014. Its totient is φ = 6503100012.

The previous prime is 6503100011. The next prime is 6503100061. The reversal of 6503100013 is 3100013056.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5960303209 + 542796804 = 77203^2 + 23298^2 .

It is a cyclic number.

It is not a de Polignac number, because 6503100013 - 21 = 6503100011 is a prime.

Together with 6503100011, 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 (6503100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3251550006 + 3251550007.

It is an arithmetic number, because the mean of its divisors is an integer number (3251550007).

Almost surely, 26503100013 is an apocalyptic number.

It is an amenable number.

6503100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

6503100013 is an equidigital number, since it uses as much as digits as its factorization.

6503100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 6503100013 is about 80641.8006557393. The cubic root of 6503100013 is about 1866.5522192836.

Adding to 6503100013 its reverse (3100013056), we get a palindrome (9603113069).

The spelling of 6503100013 in words is "six billion, five hundred three million, one hundred thousand, thirteen".