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85972759153 is a prime number
BaseRepresentation
bin101000000010001100…
…0000011001001110001
322012220120220200020221
41100010120003021301
52402033011243103
6103254554333041
76132325252411
oct1200430031161
9265816820227
1085972759153
1133508421476
12147b412a181
138151683728
1442380d6641
152382a251bd
hex1404603271

85972759153 has 2 divisors, whose sum is σ = 85972759154. Its totient is φ = 85972759152.

The previous prime is 85972759151. The next prime is 85972759157. The reversal of 85972759153 is 35195727958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83340761344 + 2631997809 = 288688^2 + 51303^2 .

It is a cyclic number.

It is not a de Polignac number, because 85972759153 - 21 = 85972759151 is a prime.

Together with 85972759151, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 85972759091 and 85972759100.

It is not a weakly prime, because it can be changed into another prime (85972759151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42986379576 + 42986379577.

It is an arithmetic number, because the mean of its divisors is an integer number (42986379577).

Almost surely, 285972759153 is an apocalyptic number.

It is an amenable number.

85972759153 is a deficient number, since it is larger than the sum of its proper divisors (1).

85972759153 is an equidigital number, since it uses as much as digits as its factorization.

85972759153 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23814000, while the sum is 61.

The spelling of 85972759153 in words is "eighty-five billion, nine hundred seventy-two million, seven hundred fifty-nine thousand, one hundred fifty-three".