1813280256 has 200 divisors, whose sum is σ = 5650446384. Its totient is φ = 577843200.

The previous prime is 1813280251. The next prime is 1813280269. The reversal of 1813280256 is 6520823181.

It is a happy number.

1813280256 is a `hidden beast` number, since 1 + 81 + 328 + 0 + 256 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1813280256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813280251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 952906 + ... + 954806.

Almost surely, 2^1813280256 is an apocalyptic number.

1813280256 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 1813280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825223192).

1813280256 is an abundant number, since it is smaller than the sum of its proper divisors (3837166128).

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

1813280256 is an equidigital number, since it uses as much as digits as its factorization.

1813280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1813280256 is about 42582.6285708151. The cubic root of 1813280256 is about 1219.4246718448.

The spelling of 1813280256 in words is "one billion, eight hundred thirteen million, two hundred eighty thousand, two hundred fifty-six".