261121349 has 2 divisors, whose sum is σ = 261121350. Its totient is φ = 261121348.

The previous prime is 261121337. The next prime is 261121361. The reversal of 261121349 is 943121162.

It is a balanced prime because it is at equal distance from previous prime (261121337) and next prime (261121361).

It can be written as a sum of positive squares in only one way, i.e., 141372100 + 119749249 = 11890^2 + 10943^2 .

It is a cyclic number.

It is not a de Polignac number, because 261121349 - 2²⁰ = 260072773 is a prime.

It is equal to p_14253752 and since 261121349 and 14253752 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261121379) 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, 130560674 + 130560675.

It is an arithmetic number, because the mean of its divisors is an integer number (130560675).

Almost surely, 2^261121349 is an apocalyptic number.

It is an amenable number.

261121349 is a deficient number, since it is larger than the sum of its proper divisors (1).

261121349 is an equidigital number, since it uses as much as digits as its factorization.

261121349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 29.

The square root of 261121349 is about 16159.2496422328. The cubic root of 261121349 is about 639.1666799217.

The spelling of 261121349 in words is "two hundred sixty-one million, one hundred twenty-one thousand, three hundred forty-nine".