261833362009 has 16 divisors (see below), whose sum is σ = 274955932800. Its totient is φ = 248985120384.

The previous prime is 261833362003. The next prime is 261833362013. The reversal of 261833362009 is 900263338162.

It is a cyclic number.

It is not a de Polignac number, because 261833362009 - 2²⁷ = 261699144281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261833362003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15179812 + ... + 15197050.

It is an arithmetic number, because the mean of its divisors is an integer number (17184745800).

Almost surely, 2^261833362009 is an apocalyptic number.

261833362009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

261833362009 is a deficient number, since it is larger than the sum of its proper divisors (13122570791).

261833362009 is a wasteful number, since it uses less digits than its factorization.

261833362009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25152.

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 261833362009 in words is "two hundred sixty-one billion, eight hundred thirty-three million, three hundred sixty-two thousand, nine".