261235000 has 80 divisors (see below), whose sum is σ = 659320200. Its totient is φ = 96432000.

The previous prime is 261234997. The next prime is 261235003. The reversal of 261235000 is 532162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (261234997) and next prime (261235003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261235003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62991 + ... + 67009.

Almost surely, 2^261235000 is an apocalyptic number.

261235000 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 261235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329660100).

261235000 is an abundant number, since it is smaller than the sum of its proper divisors (398085200).

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

261235000 is a wasteful number, since it uses less digits than its factorization.

261235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 261235000 is about 16162.7658524152. The cubic root of 261235000 is about 639.2593972173.

Adding to 261235000 its reverse (532162), we get a palindrome (261767162).

The spelling of 261235000 in words is "two hundred sixty-one million, two hundred thirty-five thousand".