261130500 has 288 divisors, whose sum is σ = 913086720. Its totient is φ = 64310400.

The previous prime is 261130487. The next prime is 261130501. The reversal of 261130500 is 5031162.

261130500 is a `hidden beast` number, since 2 + 611 + 3 + 0 + 50 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (261130501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9004486 + ... + 9004514.

It is an arithmetic number, because the mean of its divisors is an integer number (3170440).

Almost surely, 2^261130500 is an apocalyptic number.

261130500 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 261130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456543360).

261130500 is an abundant number, since it is smaller than the sum of its proper divisors (651956220).

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

261130500 is a wasteful number, since it uses less digits than its factorization.

261130500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 62 counting only the distinct ones).

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

The square root of 261130500 is about 16159.5327902758. The cubic root of 261130500 is about 639.1741463685.

Adding to 261130500 its reverse (5031162), we get a palindrome (266161662).

The spelling of 261130500 in words is "two hundred sixty-one million, one hundred thirty thousand, five hundred".