261968975 has 12 divisors (see below), whose sum is σ = 325354920. Its totient is φ = 209244000.

The previous prime is 261968921. The next prime is 261968981. The reversal of 261968975 is 579869162.

It is not a de Polignac number, because 261968975 - 2⁶ = 261968911 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8525 + ... + 24425.

It is an arithmetic number, because the mean of its divisors is an integer number (27112910).

Almost surely, 2^261968975 is an apocalyptic number.

261968975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

261968975 is a deficient number, since it is larger than the sum of its proper divisors (63385945).

261968975 is a wasteful number, since it uses less digits than its factorization.

261968975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16570 (or 16565 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 53.

The square root of 261968975 is about 16185.4556624149. The cubic root of 261968975 is about 639.8575325787.

The spelling of 261968975 in words is "two hundred sixty-one million, nine hundred sixty-eight thousand, nine hundred seventy-five".