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85777130633 is a prime number
BaseRepresentation
bin100111111100010110…
…1110010010010001001
322012101221210201101012
41033320231302102021
52401132421140013
6103223325333305
76124431403025
oct1177055622211
9265357721335
1085777130633
1133417a54907
121475a707235
13811cc9a0cc
14421a131385
1523707811a8
hex13f8b72489

85777130633 has 2 divisors, whose sum is σ = 85777130634. Its totient is φ = 85777130632.

The previous prime is 85777130629. The next prime is 85777130653. The reversal of 85777130633 is 33603177758.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43544003584 + 42233127049 = 208672^2 + 205507^2 .

It is a cyclic number.

It is not a de Polignac number, because 85777130633 - 22 = 85777130629 is a prime.

It is a super-2 number, since 2×857771306332 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (85777130623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42888565316 + 42888565317.

It is an arithmetic number, because the mean of its divisors is an integer number (42888565317).

Almost surely, 285777130633 is an apocalyptic number.

It is an amenable number.

85777130633 is a deficient number, since it is larger than the sum of its proper divisors (1).

85777130633 is an equidigital number, since it uses as much as digits as its factorization.

85777130633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 50.

The spelling of 85777130633 in words is "eighty-five billion, seven hundred seventy-seven million, one hundred thirty thousand, six hundred thirty-three".