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13032579949 is a prime number
BaseRepresentation
bin11000010001100110…
…10110001101101101
31020122021002122202021
430020303112031231
5203142320024244
65553113230141
7640650046624
oct141063261555
936567078667
1013032579949
115588608234
122638702351
1312c906b08c
148b8c0a6bb
1551423a284
hex308cd636d

13032579949 has 2 divisors, whose sum is σ = 13032579950. Its totient is φ = 13032579948.

The previous prime is 13032579919. The next prime is 13032579983. The reversal of 13032579949 is 94997523031.

It is a happy number.

13032579949 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., 12667502500 + 365077449 = 112550^2 + 19107^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032579949 - 219 = 13032055661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13032579896 and 13032579905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13032579919) 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, 6516289974 + 6516289975.

It is an arithmetic number, because the mean of its divisors is an integer number (6516289975).

Almost surely, 213032579949 is an apocalyptic number.

It is an amenable number.

13032579949 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032579949 is an equidigital number, since it uses as much as digits as its factorization.

13032579949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1837080, while the sum is 52.

The spelling of 13032579949 in words is "thirteen billion, thirty-two million, five hundred seventy-nine thousand, nine hundred forty-nine".