Search a number
-
+
2085863886313 is a prime number
BaseRepresentation
bin11110010110100111001…
…011010000110111101001
321101101222102220012202121
4132112213023100313221
5233133322123330223
64234122130031241
7303461436332104
oct36264713206751
97341872805677
102085863886313
117346788704a9
12298307718521
131219084b87ac
1472d5632573b
15393d119915d
hex1e5a72d0de9

2085863886313 has 2 divisors, whose sum is σ = 2085863886314. Its totient is φ = 2085863886312.

The previous prime is 2085863886133. The next prime is 2085863886319. The reversal of 2085863886313 is 3136883685802.

Together with previous prime (2085863886133) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1292832672784 + 793031213529 = 1137028^2 + 890523^2 .

It is a cyclic number.

It is not a de Polignac number, because 2085863886313 - 233 = 2077273951721 is a prime.

It is not a weakly prime, because it can be changed into another prime (2085863886319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042931943156 + 1042931943157.

It is an arithmetic number, because the mean of its divisors is an integer number (1042931943157).

Almost surely, 22085863886313 is an apocalyptic number.

It is an amenable number.

2085863886313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2085863886313 is an equidigital number, since it uses as much as digits as its factorization.

2085863886313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39813120, while the sum is 61.

It can be divided in two parts, 2085863 and 886313, that added together give a square (2972176 = 17242).

The spelling of 2085863886313 in words is "two trillion, eighty-five billion, eight hundred sixty-three million, eight hundred eighty-six thousand, three hundred thirteen".