1561586130 has 96 divisors (see below), whose sum is σ = 4401895680. Its totient is φ = 381801600.

The previous prime is 1561586123. The next prime is 1561586137. The reversal of 1561586130 is 316851651.

1561586130 is a `hidden beast` number, since 1 + 5 + 61 + 586 + 13 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1561586123) and next prime (1561586137).

It is not an unprimeable number, because it can be changed into a prime (1561586137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172251 + ... + 181089.

It is an arithmetic number, because the mean of its divisors is an integer number (45853080).

Almost surely, 2^1561586130 is an apocalyptic number.

1561586130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561586130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200947840).

1561586130 is an abundant number, since it is smaller than the sum of its proper divisors (2840309550).

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

1561586130 is a wasteful number, since it uses less digits than its factorization.

1561586130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9016 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1561586130 is about 39516.9094186274. The cubic root of 1561586130 is about 1160.1709344813.

The spelling of 1561586130 in words is "one billion, five hundred sixty-one million, five hundred eighty-six thousand, one hundred thirty".