261333100 has 72 divisors (see below), whose sum is σ = 669068288. Its totient is φ = 86702400.

The previous prime is 261333097. The next prime is 261333143. The reversal of 261333100 is 1333162.

261333100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261333100² = 136589978311220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15679 + ... + 27721.

Almost surely, 2^261333100 is an apocalyptic number.

261333100 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 261333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334534144).

261333100 is an abundant number, since it is smaller than the sum of its proper divisors (407735188).

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

261333100 is a wasteful number, since it uses less digits than its factorization.

261333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12095 (or 12088 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 261333100 is about 16165.8003204295. The cubic root of 261333100 is about 639.3394062751.

Adding to 261333100 its reverse (1333162), we get a palindrome (262666262).

The spelling of 261333100 in words is "two hundred sixty-one million, three hundred thirty-three thousand, one hundred".