1013777856 has 420 divisors, whose sum is σ = 3776962728. Its totient is φ = 266499072.

The previous prime is 1013777801. The next prime is 1013777861. The reversal of 1013777856 is 6587773101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3302055 + ... + 3302361.

Almost surely, 2^1013777856 is an apocalyptic number.

1013777856 is a gapful number since it is divisible by the number (16) 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 1013777856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888481364).

1013777856 is an abundant number, since it is smaller than the sum of its proper divisors (2763184872).

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

1013777856 is a wasteful number, since it uses less digits than its factorization.

1013777856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 1013777856 is about 31839.8783917276. The cubic root of 1013777856 is about 1004.5716864993.

Subtracting from 1013777856 its product of nonzero digits (246960), we obtain a square (1013530896 = 31836²).

The spelling of 1013777856 in words is "one billion, thirteen million, seven hundred seventy-seven thousand, eight hundred fifty-six".