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2561107369 is a prime number
BaseRepresentation
bin1001100010100111…
…0110010110101001
320121111011201211111
42120221312112221
520221120413434
61102045230321
7120316024222
oct23051662651
96544151744
102561107369
1110a4750967
125b58623a1
1331a7a6462
141a41da249
15eec9b964
hex98a765a9

2561107369 has 2 divisors, whose sum is σ = 2561107370. Its totient is φ = 2561107368.

The previous prime is 2561107327. The next prime is 2561107427. The reversal of 2561107369 is 9637011652.

2561107369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1730976025 + 830131344 = 41605^2 + 28812^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561107369 - 29 = 2561106857 is a prime.

It is a super-2 number, since 2×25611073692 = 13118541911092204322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2561107169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280553684 + 1280553685.

It is an arithmetic number, because the mean of its divisors is an integer number (1280553685).

Almost surely, 22561107369 is an apocalyptic number.

It is an amenable number.

2561107369 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561107369 is an equidigital number, since it uses as much as digits as its factorization.

2561107369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 2561107369 is about 50607.3845303232. The cubic root of 2561107369 is about 1368.1779762359.

The spelling of 2561107369 in words is "two billion, five hundred sixty-one million, one hundred seven thousand, three hundred sixty-nine".