130561000 has 64 divisors (see below), whose sum is σ = 308065680. Its totient is φ = 51788800.

The previous prime is 130560973. The next prime is 130561001. The reversal of 130561000 is 165031.

It can be written as a sum of positive squares in 8 ways, for example, as 4268356 + 126292644 = 2066^2 + 11238^2 .

It is not an unprimeable number, because it can be changed into a prime (130561001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136524 + ... + 137476.

Almost surely, 2^130561000 is an apocalyptic number.

130561000 is a gapful number since it is divisible by the number (10) 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 130561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154032840).

130561000 is an abundant number, since it is smaller than the sum of its proper divisors (177504680).

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

130561000 is a wasteful number, since it uses less digits than its factorization.

130561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 130561000 is about 11426.3292443374. The cubic root of 130561000 is about 507.3073516329.

The spelling of 130561000 in words is "one hundred thirty million, five hundred sixty-one thousand".