Search a number
-
+
82531123613 is a prime number
BaseRepresentation
bin100110011011100111…
…1010000000110011101
321220000201212110211222
41030313033100012131
52323010431423423
6101525252223125
75651124655511
oct1146717200635
9256021773758
1082531123613
1132001738784
1213bb360aaa5
137a236407b3
143dccdac141
1522307e63c8
hex13373d019d

82531123613 has 2 divisors, whose sum is σ = 82531123614. Its totient is φ = 82531123612.

The previous prime is 82531123523. The next prime is 82531123627. The reversal of 82531123613 is 31632113528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82528649284 + 2474329 = 287278^2 + 1573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82531123613 is a prime.

It is a super-2 number, since 2×825311236132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82531123013) 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, 41265561806 + 41265561807.

It is an arithmetic number, because the mean of its divisors is an integer number (41265561807).

Almost surely, 282531123613 is an apocalyptic number.

It is an amenable number.

82531123613 is a deficient number, since it is larger than the sum of its proper divisors (1).

82531123613 is an equidigital number, since it uses as much as digits as its factorization.

82531123613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 35.

The spelling of 82531123613 in words is "eighty-two billion, five hundred thirty-one million, one hundred twenty-three thousand, six hundred thirteen".