261153000 has 96 divisors (see below), whose sum is σ = 882727560. Its totient is φ = 69638400.

The previous prime is 261152999. The next prime is 261153019. The reversal of 261153000 is 351162.

261153000 is a `hidden beast` number, since 2 + 611 + 53 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39917124 + 221235876 = 6318^2 + 14874^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5509 + ... + 23508.

Almost surely, 2^261153000 is an apocalyptic number.

261153000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441363780).

261153000 is an abundant number, since it is smaller than the sum of its proper divisors (621574560).

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

261153000 is a wasteful number, since it uses less digits than its factorization.

261153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29044 (or 29027 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 261153000 is about 16160.2289587741. The cubic root of 261153000 is about 639.1925037354.

It can be divided in two parts, 2611 and 53000, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 261153000 in words is "two hundred sixty-one million, one hundred fifty-three thousand".