1580216130 has 144 divisors (see below), whose sum is σ = 4592857464. Its totient is φ = 375598080.

The previous prime is 1580216129. The next prime is 1580216171. The reversal of 1580216130 is 316120851.

1580216130 is a `hidden beast` number, since 1 + 580 + 21 + 61 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1454125689 + 126090441 = 38133^2 + 11229^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1580216094 and 1580216103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 550900 + ... + 553760.

Almost surely, 2^1580216130 is an apocalyptic number.

1580216130 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 1580216130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296428732).

1580216130 is an abundant number, since it is smaller than the sum of its proper divisors (3012641334).

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

1580216130 is a wasteful number, since it uses less digits than its factorization.

1580216130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1580216130 is about 39751.9324058592. The cubic root of 1580216130 is about 1164.7663895761.

Adding to 1580216130 its reverse (316120851), we get a palindrome (1896336981).

The spelling of 1580216130 in words is "one billion, five hundred eighty million, two hundred sixteen thousand, one hundred thirty".