261083256 has 128 divisors (see below), whose sum is σ = 790732800. Its totient is φ = 70174080.

The previous prime is 261083243. The next prime is 261083293. The reversal of 261083256 is 652380162.

It is a super-3 number, since 3×261083256³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839341 + ... + 839651.

It is an arithmetic number, because the mean of its divisors is an integer number (6177600).

Almost surely, 2^261083256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261083256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395366400).

261083256 is an abundant number, since it is smaller than the sum of its proper divisors (529649544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261083256 is a wasteful number, since it uses less digits than its factorization.

261083256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 261083256 is about 16158.0709244637. The cubic root of 261083256 is about 639.1355973612.

The spelling of 261083256 in words is "two hundred sixty-one million, eighty-three thousand, two hundred fifty-six".