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2767132561 is a prime number
BaseRepresentation
bin1010010011101111…
…0001011110010001
321010211211220021011
42210323301132101
521131341220221
61134325130521
7125400144604
oct24473613621
97124756234
102767132561
11119aa79716
12652859a41
1335139005b
141c370a33b
15112de61e1
hexa4ef1791

2767132561 has 2 divisors, whose sum is σ = 2767132562. Its totient is φ = 2767132560.

The previous prime is 2767132559. The next prime is 2767132609. The reversal of 2767132561 is 1652317672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2707224961 + 59907600 = 52031^2 + 7740^2 .

It is a cyclic number.

It is not a de Polignac number, because 2767132561 - 21 = 2767132559 is a prime.

It is a super-2 number, since 2×27671325612 = 15314045220292837442, which contains 22 as substring.

Together with 2767132559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2767132961) 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, 1383566280 + 1383566281.

It is an arithmetic number, because the mean of its divisors is an integer number (1383566281).

Almost surely, 22767132561 is an apocalyptic number.

It is an amenable number.

2767132561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2767132561 is an equidigital number, since it uses as much as digits as its factorization.

2767132561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 40.

The square root of 2767132561 is about 52603.5413351611. The cubic root of 2767132561 is about 1403.9231053481.

The spelling of 2767132561 in words is "two billion, seven hundred sixty-seven million, one hundred thirty-two thousand, five hundred sixty-one".