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13512013 is a prime number
BaseRepresentation
bin110011100010…
…110101001101
3221102110222221
4303202311031
511424341023
61201335341
7222564424
oct63426515
927373887
1013512013
117699859
124637551
132a51298
141b1a2bb
1512bd85d
hexce2d4d

13512013 has 2 divisors, whose sum is σ = 13512014. Its totient is φ = 13512012.

The previous prime is 13511989. The next prime is 13512029. The reversal of 13512013 is 31021531.

It is an a-pointer prime, because the next prime (13512029) can be obtained adding 13512013 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13118884 + 393129 = 3622^2 + 627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13512013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13512053) 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, 6756006 + 6756007.

It is an arithmetic number, because the mean of its divisors is an integer number (6756007).

Almost surely, 213512013 is an apocalyptic number.

It is an amenable number.

13512013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13512013 is an equidigital number, since it uses as much as digits as its factorization.

13512013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13512013 is about 3675.8690129002. The cubic root of 13512013 is about 238.1807644445.

Adding to 13512013 its reverse (31021531), we get a palindrome (44533544).

It can be divided in two parts, 1351 and 2013, that added together give a square (3364 = 582).

The spelling of 13512013 in words is "thirteen million, five hundred twelve thousand, thirteen".