261301300 has 144 divisors (see below), whose sum is σ = 656208000. Its totient is φ = 89510400.

The previous prime is 261301297. The next prime is 261301303. The reversal of 261301300 is 3103162.

It is an interprime number because it is at equal distance from previous prime (261301297) and next prime (261301303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261301303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1753626 + ... + 1753774.

It is an arithmetic number, because the mean of its divisors is an integer number (4557000).

Almost surely, 2^261301300 is an apocalyptic number.

261301300 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 261301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104000).

261301300 is an abundant number, since it is smaller than the sum of its proper divisors (394906700).

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

261301300 is a wasteful number, since it uses less digits than its factorization.

261301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 261301300 is about 16164.8167326450. The cubic root of 261301300 is about 639.3134728109.

Adding to 261301300 its reverse (3103162), we get a palindrome (264404462).

The spelling of 261301300 in words is "two hundred sixty-one million, three hundred one thousand, three hundred".