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2607317549281 is a prime number
BaseRepresentation
bin100101111100010000001…
…111001000000011100001
3100020020221102221220222001
4211330100033020003201
5320204241243034111
65313441331444001
7356241521333014
oct45742017100341
910206842856861
102607317549281
11915836869475
12361395456601
1315bb3b22b3a3
14902a291137b
1547c5048d1c1
hex25f103c80e1

2607317549281 has 2 divisors, whose sum is σ = 2607317549282. Its totient is φ = 2607317549280.

The previous prime is 2607317549279. The next prime is 2607317549327. The reversal of 2607317549281 is 1829457137062.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1593631036881 + 1013686512400 = 1262391^2 + 1006820^2 .

It is a cyclic number.

It is not a de Polignac number, because 2607317549281 - 21 = 2607317549279 is a prime.

It is a super-2 number, since 2×26073175492812 (a number of 26 digits) contains 22 as substring.

Together with 2607317549279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2607317549381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1303658774640 + 1303658774641.

It is an arithmetic number, because the mean of its divisors is an integer number (1303658774641).

It is a 1-persistent number, because it is pandigital, but 2⋅2607317549281 = 5214635098562 is not.

Almost surely, 22607317549281 is an apocalyptic number.

It is an amenable number.

2607317549281 is a deficient number, since it is larger than the sum of its proper divisors (1).

2607317549281 is an equidigital number, since it uses as much as digits as its factorization.

2607317549281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 2607317549281 in words is "two trillion, six hundred seven billion, three hundred seventeen million, five hundred forty-nine thousand, two hundred eighty-one".