1825135104 has 240 divisors, whose sum is σ = 5391619200. Its totient is φ = 548241408.

The previous prime is 1825135093. The next prime is 1825135111. The reversal of 1825135104 is 4015315281.

It is a super-2 number, since 2×1825135104² = 6662236295706181632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20507092 + ... + 20507180.

It is an arithmetic number, because the mean of its divisors is an integer number (22465080).

Almost surely, 2^1825135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695809600).

1825135104 is an abundant number, since it is smaller than the sum of its proper divisors (3566484096).

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

1825135104 is an equidigital number, since it uses as much as digits as its factorization.

1825135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1825135104 is about 42721.5999700386. The cubic root of 1825135104 is about 1222.0763495378.

The spelling of 1825135104 in words is "one billion, eight hundred twenty-five million, one hundred thirty-five thousand, one hundred four".