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87817317953 is a prime number
BaseRepresentation
bin101000111001001010…
…0011110111001000001
322101200010202222020112
41101302110132321001
52414322213133303
6104202005521105
76226123613021
oct1216224367101
9271603688215
1087817317953
113427464a832
1215029a13195
138386875341
14437108ba81
15243e9310d8
hex147251ee41

87817317953 has 2 divisors, whose sum is σ = 87817317954. Its totient is φ = 87817317952.

The previous prime is 87817317941. The next prime is 87817317989. The reversal of 87817317953 is 35971371878.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47016549889 + 40800768064 = 216833^2 + 201992^2 .

It is a cyclic number.

It is not a de Polignac number, because 87817317953 - 28 = 87817317697 is a prime.

It is a super-2 number, since 2×878173179532 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87817317892 and 87817317901.

It is not a weakly prime, because it can be changed into another prime (87817317053) 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, 43908658976 + 43908658977.

It is an arithmetic number, because the mean of its divisors is an integer number (43908658977).

Almost surely, 287817317953 is an apocalyptic number.

It is an amenable number.

87817317953 is a deficient number, since it is larger than the sum of its proper divisors (1).

87817317953 is an equidigital number, since it uses as much as digits as its factorization.

87817317953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8890560, while the sum is 59.

The spelling of 87817317953 in words is "eighty-seven billion, eight hundred seventeen million, three hundred seventeen thousand, nine hundred fifty-three".