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13004753263 is a prime number
BaseRepresentation
bin11000001110010010…
…01100100101101111
31020120022201220201021
430013021030211233
5203113204101023
65550240555011
7640161402355
oct140711144557
936508656637
1013004753263
115573931677
12262b322a67
1312c3377398
148b52457d5
15511a9035d
hex30724c96f

13004753263 has 2 divisors, whose sum is σ = 13004753264. Its totient is φ = 13004753262.

The previous prime is 13004753261. The next prime is 13004753317. The reversal of 13004753263 is 36235740031.

13004753263 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 is a cyclic number.

It is not a de Polignac number, because 13004753263 - 21 = 13004753261 is a prime.

Together with 13004753261, 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 (13004753261) 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, 6502376631 + 6502376632.

It is an arithmetic number, because the mean of its divisors is an integer number (6502376632).

Almost surely, 213004753263 is an apocalyptic number.

13004753263 is a deficient number, since it is larger than the sum of its proper divisors (1).

13004753263 is an equidigital number, since it uses as much as digits as its factorization.

13004753263 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 13004753263 in words is "thirteen billion, four million, seven hundred fifty-three thousand, two hundred sixty-three".