261755505 has 24 divisors (see below), whose sum is σ = 494956800. Its totient is φ = 126911520.

The previous prime is 261755467. The next prime is 261755513. The reversal of 261755505 is 505557162.

It is a happy number.

261755505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 261755505 - 2⁶ = 261755441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 261755505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263905 + ... + 264894.

It is an arithmetic number, because the mean of its divisors is an integer number (20623200).

Almost surely, 2^261755505 is an apocalyptic number.

It is an amenable number.

261755505 is a deficient number, since it is larger than the sum of its proper divisors (233201295).

261755505 is a wasteful number, since it uses less digits than its factorization.

261755505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528821 (or 528818 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 261755505 is about 16178.8598176757. The cubic root of 261755505 is about 639.6836856498.

The spelling of 261755505 in words is "two hundred sixty-one million, seven hundred fifty-five thousand, five hundred five".