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86258413121 is a prime number
BaseRepresentation
bin101000001010101100…
…1101110111001000001
322020122111102101211112
41100111121232321001
52403124123204441
6103343201053105
76142364261666
oct1202531567101
9266574371745
1086258413121
1133644697531
1214873927195
1381988ca74a
144264013a6d
15239cb4d4eb
hex141566ee41

86258413121 has 2 divisors, whose sum is σ = 86258413122. Its totient is φ = 86258413120.

The previous prime is 86258413093. The next prime is 86258413169. The reversal of 86258413121 is 12131485268.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61028267521 + 25230145600 = 247039^2 + 158840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-86258413121 is a prime.

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 (86258413721) 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, 43129206560 + 43129206561.

It is an arithmetic number, because the mean of its divisors is an integer number (43129206561).

Almost surely, 286258413121 is an apocalyptic number.

It is an amenable number.

86258413121 is a deficient number, since it is larger than the sum of its proper divisors (1).

86258413121 is an equidigital number, since it uses as much as digits as its factorization.

86258413121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 92160, while the sum is 41.

Adding to 86258413121 its reverse (12131485268), we get a palindrome (98389898389).

The spelling of 86258413121 in words is "eighty-six billion, two hundred fifty-eight million, four hundred thirteen thousand, one hundred twenty-one".