Search a number
-
+
2586312952141 is a prime number
BaseRepresentation
bin100101101000101100010…
…000111100100101001101
3100011020201121002211111211
4211220230100330211031
5314333232103432031
65300045154214421
7354566150240332
oct45505420744515
910136647084454
102586312952141
11907938266786
123592b2b84411
13159b71696c99
148d26d042989
1547421433bb1
hex25a2c43c94d

2586312952141 has 2 divisors, whose sum is σ = 2586312952142. Its totient is φ = 2586312952140.

The previous prime is 2586312952123. The next prime is 2586312952231. The reversal of 2586312952141 is 1412592136852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1788558516900 + 797754435241 = 1337370^2 + 893171^2 .

It is a cyclic number.

It is not a de Polignac number, because 2586312952141 - 223 = 2586304563533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2586312952121) 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, 1293156476070 + 1293156476071.

It is an arithmetic number, because the mean of its divisors is an integer number (1293156476071).

Almost surely, 22586312952141 is an apocalyptic number.

It is an amenable number.

2586312952141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2586312952141 is an equidigital number, since it uses as much as digits as its factorization.

2586312952141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1036800, while the sum is 49.

The spelling of 2586312952141 in words is "two trillion, five hundred eighty-six billion, three hundred twelve million, nine hundred fifty-two thousand, one hundred forty-one".