261305300 has 144 divisors (see below), whose sum is σ = 645708672. Its totient is φ = 91238400.

The previous prime is 261305269. The next prime is 261305321. The reversal of 261305300 is 3503162.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603019 + ... + 1603181.

It is an arithmetic number, because the mean of its divisors is an integer number (4484088).

Almost surely, 2^261305300 is an apocalyptic number.

261305300 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 261305300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322854336).

261305300 is an abundant number, since it is smaller than the sum of its proper divisors (384403372).

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

261305300 is a wasteful number, since it uses less digits than its factorization.

261305300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 261305300 is about 16164.9404576695. The cubic root of 261305300 is about 639.3167349975.

Adding to 261305300 its reverse (3503162), we get a palindrome (264808462).

The spelling of 261305300 in words is "two hundred sixty-one million, three hundred five thousand, three hundred".