261884801 has 2 divisors, whose sum is σ = 261884802. Its totient is φ = 261884800.

The previous prime is 261884797. The next prime is 261884803. The reversal of 261884801 is 108488162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136422400 + 125462401 = 11680^2 + 11201^2 .

It is a cyclic number.

It is not a de Polignac number, because 261884801 - 2² = 261884797 is a prime.

Together with 261884803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (261884803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130942400 + 130942401.

It is an arithmetic number, because the mean of its divisors is an integer number (130942401).

Almost surely, 2^261884801 is an apocalyptic number.

It is an amenable number.

261884801 is a deficient number, since it is larger than the sum of its proper divisors (1).

261884801 is an equidigital number, since it uses as much as digits as its factorization.

261884801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 261884801 is about 16182.8551559977. The cubic root of 261884801 is about 639.7889937533.

The spelling of 261884801 in words is "two hundred sixty-one million, eight hundred eighty-four thousand, eight hundred one".