261552653 has 8 divisors (see below), whose sum is σ = 277172280. Its totient is φ = 246373120.

The previous prime is 261552631. The next prime is 261552677. The reversal of 261552653 is 356255162.

It can be written as a sum of positive squares in 4 ways, for example, as 61669609 + 199883044 = 7853^2 + 14138^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 261552653 - 2⁸ = 261552397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261552353) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 108800 + ... + 111177.

It is an arithmetic number, because the mean of its divisors is an integer number (34646535).

Almost surely, 2^261552653 is an apocalyptic number.

It is an amenable number.

261552653 is a deficient number, since it is larger than the sum of its proper divisors (15619627).

261552653 is a wasteful number, since it uses less digits than its factorization.

261552653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220047.

The product of its digits is 54000, while the sum is 35.

The square root of 261552653 is about 16172.5895576435. The cubic root of 261552653 is about 639.5183982637.

The spelling of 261552653 in words is "two hundred sixty-one million, five hundred fifty-two thousand, six hundred fifty-three".