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11577065681 is a prime number
BaseRepresentation
bin10101100100000110…
…00000000011010001
31002212211021212112102
422302003000003101
5142202212100211
65152440410145
7556614302036
oct126203000321
932784255472
1011577065681
114a00a51885
1222b1176955
13112665332c
147bb7a738d
1547b57ba3b
hex2b20c00d1

11577065681 has 2 divisors, whose sum is σ = 11577065682. Its totient is φ = 11577065680.

The previous prime is 11577065639. The next prime is 11577065701. The reversal of 11577065681 is 18656077511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10782953281 + 794112400 = 103841^2 + 28180^2 .

It is an emirp because it is prime and its reverse (18656077511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11577065681 - 226 = 11509956817 is a prime.

It is a super-2 number, since 2×115770656812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11577065581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5788532840 + 5788532841.

It is an arithmetic number, because the mean of its divisors is an integer number (5788532841).

Almost surely, 211577065681 is an apocalyptic number.

It is an amenable number.

11577065681 is a deficient number, since it is larger than the sum of its proper divisors (1).

11577065681 is an equidigital number, since it uses as much as digits as its factorization.

11577065681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 47.

The spelling of 11577065681 in words is "eleven billion, five hundred seventy-seven million, sixty-five thousand, six hundred eighty-one".