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13582387613 is a prime number
BaseRepresentation
bin11001010011001001…
…01100100110011101
31022001120122210002002
430221210230212131
5210304042400423
610123433412045
7660404250464
oct145144544635
938046583062
1013582387613
11583a9a3933
12277086a025
131385c41b62
1492bc499db
15547641228
hex32992c99d

13582387613 has 2 divisors, whose sum is σ = 13582387614. Its totient is φ = 13582387612.

The previous prime is 13582387573. The next prime is 13582387669. The reversal of 13582387613 is 31678328531.

13582387613 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., 6982774969 + 6599612644 = 83563^2 + 81238^2 .

It is a cyclic number.

It is not a de Polignac number, because 13582387613 - 216 = 13582322077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13582387513) 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, 6791193806 + 6791193807.

It is an arithmetic number, because the mean of its divisors is an integer number (6791193807).

Almost surely, 213582387613 is an apocalyptic number.

It is an amenable number.

13582387613 is a deficient number, since it is larger than the sum of its proper divisors (1).

13582387613 is an equidigital number, since it uses as much as digits as its factorization.

13582387613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 47.

The spelling of 13582387613 in words is "thirteen billion, five hundred eighty-two million, three hundred eighty-seven thousand, six hundred thirteen".