1825381800 has 648 divisors, whose sum is σ = 7404701850. Its totient is φ = 402124800.

The previous prime is 1825381799. The next prime is 1825381807. The reversal of 1825381800 is 81835281.

1825381800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 512479044 + 1312902756 = 22638^2 + 36234^2 .

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 (1825381807) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 62944186 + ... + 62944214.

Almost surely, 2^1825381800 is an apocalyptic number.

1825381800 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 1825381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702350925).

1825381800 is an abundant number, since it is smaller than the sum of its proper divisors (5579320050).

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

1825381800 is a wasteful number, since it uses less digits than its factorization.

1825381800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1825381800 is about 42724.4871238965. The cubic root of 1825381800 is about 1222.1314080673.

The spelling of 1825381800 in words is "one billion, eight hundred twenty-five million, three hundred eighty-one thousand, eight hundred".