1819125200 has 90 divisors (see below), whose sum is σ = 4569260934. Its totient is φ = 695932160.

The previous prime is 1819125199. The next prime is 1819125281. The reversal of 1819125200 is 25219181.

It can be written as a sum of positive squares in 3 ways, for example, as 224880016 + 1594245184 = 14996^2 + 39928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207302 + ... + 215898.

Almost surely, 2^1819125200 is an apocalyptic number.

1819125200 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 1819125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284630467).

1819125200 is an abundant number, since it is smaller than the sum of its proper divisors (2750135734).

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

1819125200 is a wasteful number, since it uses less digits than its factorization.

1819125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 1819125200 is about 42651.2039689386. The cubic root of 1819125200 is about 1220.7335013967.

The spelling of 1819125200 in words is "one billion, eight hundred nineteen million, one hundred twenty-five thousand, two hundred".