1013771880 has 432 divisors, whose sum is σ = 3940978860. Its totient is φ = 225054720.

The previous prime is 1013771839. The next prime is 1013771881. The reversal of 1013771880 is 881773101.

1013771880 is a `hidden beast` number, since 101 + 377 + 188 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 949995684 + 63776196 = 30822^2 + 7986^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1013771881) 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 107 ways as a sum of consecutive naturals, for example, 27399222 + ... + 27399258.

Almost surely, 2^1013771880 is an apocalyptic number.

1013771880 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 1013771880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970489430).

1013771880 is an abundant number, since it is smaller than the sum of its proper divisors (2927206980).

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

1013771880 is a wasteful number, since it uses less digits than its factorization.

1013771880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The square root of 1013771880 is about 31839.7845470097. The cubic root of 1013771880 is about 1004.5697125849.

The spelling of 1013771880 in words is "one billion, thirteen million, seven hundred seventy-one thousand, eight hundred eighty".