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2601123841 is a prime number
BaseRepresentation
bin1001101100001010…
…0000000000000001
320201021110210010001
42123002200000001
520311341430331
61110035040001
7121313121301
oct23302400001
96637423101
102601123841
1111152a2928
12607140001
13325b77644
141a9655601
15103553561
hex9b0a0001

2601123841 has 2 divisors, whose sum is σ = 2601123842. Its totient is φ = 2601123840.

The previous prime is 2601123839. The next prime is 2601123893. The reversal of 2601123841 is 1483211062.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2368866241 + 232257600 = 48671^2 + 15240^2 .

It is a cyclic number.

It is not a de Polignac number, because 2601123841 - 21 = 2601123839 is a prime.

It is a super-3 number, since 3×26011238413 (a number of 29 digits) contains 333 as substring.

Together with 2601123839, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2601123341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1300561920 + 1300561921.

It is an arithmetic number, because the mean of its divisors is an integer number (1300561921).

It is a Proth number, since it is equal to 19845 ⋅ 217 + 1 and 19845 < 217.

Almost surely, 22601123841 is an apocalyptic number.

It is an amenable number.

2601123841 is a deficient number, since it is larger than the sum of its proper divisors (1).

2601123841 is an equidigital number, since it uses as much as digits as its factorization.

2601123841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2601123841 is about 51001.2141129993. The cubic root of 2601123841 is about 1375.2669614543.

The spelling of 2601123841 in words is "two billion, six hundred one million, one hundred twenty-three thousand, eight hundred forty-one".