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12513263756291 is a prime number
BaseRepresentation
bin1011011000010111100010…
…1001000010010000000011
31122022020220212101110002222
42312011320221002100003
53120004131010200131
642340303005401255
72431024224654314
oct266057051022003
948266825343088
1012513263756291
113a94933196761
1214a11a286922b
136c9cc375a25c
143139065c860b
1516a77320587b
hexb6178a42403

12513263756291 has 2 divisors, whose sum is σ = 12513263756292. Its totient is φ = 12513263756290.

The previous prime is 12513263756261. The next prime is 12513263756293. The reversal of 12513263756291 is 19265736231521.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12513263756291 is a prime.

Together with 12513263756293, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12513263756293) 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, 6256631878145 + 6256631878146.

It is an arithmetic number, because the mean of its divisors is an integer number (6256631878146).

Almost surely, 212513263756291 is an apocalyptic number.

12513263756291 is a deficient number, since it is larger than the sum of its proper divisors (1).

12513263756291 is an equidigital number, since it uses as much as digits as its factorization.

12513263756291 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4082400, while the sum is 53.

The spelling of 12513263756291 in words is "twelve trillion, five hundred thirteen billion, two hundred sixty-three million, seven hundred fifty-six thousand, two hundred ninety-one".