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361382561 is a prime number
BaseRepresentation
bin10101100010100…
…100001010100001
3221012000010200022
4111202210022201
51220003220221
655505403225
711645462321
oct2542441241
9835003608
10361382561
11175a9a081
12a1039515
1359b40147
1435dd1281
1521ad64ab
hex158a42a1

361382561 has 2 divisors, whose sum is σ = 361382562. Its totient is φ = 361382560.

The previous prime is 361382551. The next prime is 361382587. The reversal of 361382561 is 165283163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 355888225 + 5494336 = 18865^2 + 2344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-361382561 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (361382501) 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, 180691280 + 180691281.

It is an arithmetic number, because the mean of its divisors is an integer number (180691281).

Almost surely, 2361382561 is an apocalyptic number.

It is an amenable number.

361382561 is a deficient number, since it is larger than the sum of its proper divisors (1).

361382561 is an equidigital number, since it uses as much as digits as its factorization.

361382561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 35.

The square root of 361382561 is about 19010.0647289798. The cubic root of 361382561 is about 712.2881683187.

The spelling of 361382561 in words is "three hundred sixty-one million, three hundred eighty-two thousand, five hundred sixty-one".