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86011535381 is a prime number
BaseRepresentation
bin101000000011010101…
…1111110000000010101
322020000021212201020112
41100012223332000111
52402122423113011
6103302501412405
76133305662552
oct1200653760025
9266007781215
1086011535381
11335282a6642
121480510a105
13815970c245
14423d30ba29
15238613458b
hex1406afe015

86011535381 has 2 divisors, whose sum is σ = 86011535382. Its totient is φ = 86011535380.

The previous prime is 86011535371. The next prime is 86011535417. The reversal of 86011535381 is 18353511068.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63298031281 + 22713504100 = 251591^2 + 150710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-86011535381 is a prime.

It is a super-3 number, since 3×860115353813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86011535371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43005767690 + 43005767691.

It is an arithmetic number, because the mean of its divisors is an integer number (43005767691).

Almost surely, 286011535381 is an apocalyptic number.

It is an amenable number.

86011535381 is a deficient number, since it is larger than the sum of its proper divisors (1).

86011535381 is an equidigital number, since it uses as much as digits as its factorization.

86011535381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 86011535381 in words is "eighty-six billion, eleven million, five hundred thirty-five thousand, three hundred eighty-one".