261053226 has 96 divisors (see below), whose sum is σ = 677370240. Its totient is φ = 72999360.

The previous prime is 261053159. The next prime is 261053237. The reversal of 261053226 is 622350162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 261053226.

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 47 ways as a sum of consecutive naturals, for example, 1905430 + ... + 1905566.

It is an arithmetic number, because the mean of its divisors is an integer number (7055940).

Almost surely, 2^261053226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261053226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338685120).

261053226 is an abundant number, since it is smaller than the sum of its proper divisors (416317014).

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

261053226 is a wasteful number, since it uses less digits than its factorization.

261053226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 261053226 is about 16157.1416407730. The cubic root of 261053226 is about 639.1110917964. Note that the first 3 decimals are identical.

The spelling of 261053226 in words is "two hundred sixty-one million, fifty-three thousand, two hundred twenty-six".