2561102009 has 2 divisors, whose sum is σ = 2561102010. Its totient is φ = 2561102008.

The previous prime is 2561101999. The next prime is 2561102029. The reversal of 2561102009 is 9002011652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1644708025 + 916393984 = 40555^2 + 30272^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561102009 - 2⁴ = 2561101993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2561102029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280551004 + 1280551005.

It is an arithmetic number, because the mean of its divisors is an integer number (1280551005).

Almost surely, 2^2561102009 is an apocalyptic number.

It is an amenable number.

2561102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561102009 is an equidigital number, since it uses as much as digits as its factorization.

2561102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 2561102009 is about 50607.3315735971. The cubic root of 2561102009 is about 1368.1770217739.

The spelling of 2561102009 in words is "two billion, five hundred sixty-one million, one hundred two thousand, nine".