1813125888 has 324 divisors, whose sum is σ = 6362931120. Its totient is φ = 486309888.

The previous prime is 1813125851. The next prime is 1813125929. The reversal of 1813125888 is 8885213181.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4660798 + ... + 4661186.

Almost surely, 2^1813125888 is an apocalyptic number.

1813125888 is a gapful number since it is divisible by the number (18) 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 1813125888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181465560).

1813125888 is an abundant number, since it is smaller than the sum of its proper divisors (4549805232).

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

1813125888 is a wasteful number, since it uses less digits than its factorization.

1813125888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 418 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The square root of 1813125888 is about 42580.8159621208. The cubic root of 1813125888 is about 1219.3900668816.

The spelling of 1813125888 in words is "one billion, eight hundred thirteen million, one hundred twenty-five thousand, eight hundred eighty-eight".