1012811580 has 192 divisors, whose sum is σ = 3461391360. Its totient is φ = 243820800.

The previous prime is 1012811543. The next prime is 1012811599. The reversal of 1012811580 is 851182101.

1012811580 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 81 + 1 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 991470 + ... + 992490.

It is an arithmetic number, because the mean of its divisors is an integer number (18028080).

Almost surely, 2^1012811580 is an apocalyptic number.

1012811580 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 1012811580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730695680).

1012811580 is an abundant number, since it is smaller than the sum of its proper divisors (2448579780).

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

1012811580 is a wasteful number, since it uses less digits than its factorization.

1012811580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 1012811580 is about 31824.7007841394. The cubic root of 1012811580 is about 1004.2524179758.

Adding to 1012811580 its reverse (851182101), we get a palindrome (1863993681).

The spelling of 1012811580 in words is "one billion, twelve million, eight hundred eleven thousand, five hundred eighty".