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14535132013 is a prime number
BaseRepresentation
bin11011000100101110…
…01000001101101101
31101111222102012200201
431202113020031231
5214231443211023
610402150153501
71023123404113
oct154227101555
941458365621
1014535132013
1161897808a6
122997952891
1314a8444b3c
149bc5b5ab3
155a10dabad
hex3625c836d

14535132013 has 2 divisors, whose sum is σ = 14535132014. Its totient is φ = 14535132012.

The previous prime is 14535132011. The next prime is 14535132083. The reversal of 14535132013 is 31023153541.

It is a happy number.

14535132013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14057184969 + 477947044 = 118563^2 + 21862^2 .

It is a cyclic number.

It is not a de Polignac number, because 14535132013 - 21 = 14535132011 is a prime.

It is a super-2 number, since 2×145351320132 (a number of 21 digits) contains 22 as substring.

Together with 14535132011, 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 (14535132011) 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, 7267566006 + 7267566007.

It is an arithmetic number, because the mean of its divisors is an integer number (7267566007).

Almost surely, 214535132013 is an apocalyptic number.

It is an amenable number.

14535132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

14535132013 is an equidigital number, since it uses as much as digits as its factorization.

14535132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 14535132013 its reverse (31023153541), we get a palindrome (45558285554).

The spelling of 14535132013 in words is "fourteen billion, five hundred thirty-five million, one hundred thirty-two thousand, thirteen".