261196117 has 48 divisors (see below), whose sum is σ = 342265392. Its totient is φ = 197406720.

The previous prime is 261196099. The next prime is 261196121. The reversal of 261196117 is 711691162.

261196117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 39513796 + 221682321 = 6286^2 + 14889^2 .

It is a de Polignac number, because none of the positive numbers 2^k-261196117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261196157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1906473 + ... + 1906609.

It is an arithmetic number, because the mean of its divisors is an integer number (7130529).

Almost surely, 2^261196117 is an apocalyptic number.

It is an amenable number.

261196117 is a deficient number, since it is larger than the sum of its proper divisors (81069275).

261196117 is a wasteful number, since it uses less digits than its factorization.

261196117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its digits is 4536, while the sum is 34.

The square root of 261196117 is about 16161.5629504080. The cubic root of 261196117 is about 639.2276792157.

The spelling of 261196117 in words is "two hundred sixty-one million, one hundred ninety-six thousand, one hundred seventeen".