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2561466241 is a prime number
BaseRepresentation
bin1001100010101100…
…1101111110000001
320121111211222010001
42120223031332001
520221213404431
61102101040001
7120322050415
oct23053157601
96544758101
102561466241
1110a4976554
125b59b6001
1331a8a08c9
141a4290d45
15eed1ce61
hex98acdf81

2561466241 has 2 divisors, whose sum is σ = 2561466242. Its totient is φ = 2561466240.

The previous prime is 2561466223. The next prime is 2561466253. The reversal of 2561466241 is 1426641652.

2561466241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1787513841 + 773952400 = 42279^2 + 27820^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561466241 - 211 = 2561464193 is a prime.

It is a super-2 number, since 2×25614662412 = 13122218607565340162, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2561466241.

It is not a weakly prime, because it can be changed into another prime (2561466641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280733120 + 1280733121.

It is an arithmetic number, because the mean of its divisors is an integer number (1280733121).

Almost surely, 22561466241 is an apocalyptic number.

It is an amenable number.

2561466241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561466241 is an equidigital number, since it uses as much as digits as its factorization.

2561466241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 69120, while the sum is 37.

The square root of 2561466241 is about 50610.9300546829. The cubic root of 2561466241 is about 1368.2418779998.

The spelling of 2561466241 in words is "two billion, five hundred sixty-one million, four hundred sixty-six thousand, two hundred forty-one".