Search a number
-
+
1312967576681 is a prime number
BaseRepresentation
bin10011000110110010111…
…101110100110001101001
311122111222222010121020222
4103012302331310301221
5133002424144423211
62443100255455425
7163600363155365
oct23066275646151
94574888117228
101312967576681
1146690aa71512
12192566227575
1396a73856137
14477958b42a5
15242475c01db
hex131b2f74c69

1312967576681 has 2 divisors, whose sum is σ = 1312967576682. Its totient is φ = 1312967576680.

The previous prime is 1312967576663. The next prime is 1312967576717. The reversal of 1312967576681 is 1866757692131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1311929706025 + 1037870656 = 1145395^2 + 32216^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312967576681 - 26 = 1312967576617 is a prime.

It is a super-2 number, since 2×13129675766812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1312967576651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656483788340 + 656483788341.

It is an arithmetic number, because the mean of its divisors is an integer number (656483788341).

Almost surely, 21312967576681 is an apocalyptic number.

It is an amenable number.

1312967576681 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312967576681 is an equidigital number, since it uses as much as digits as its factorization.

1312967576681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22861440, while the sum is 62.

The spelling of 1312967576681 in words is "one trillion, three hundred twelve billion, nine hundred sixty-seven million, five hundred seventy-six thousand, six hundred eighty-one".