1825105608 has 80 divisors (see below), whose sum is σ = 5120920860. Its totient is φ = 607305600.

The previous prime is 1825105589. The next prime is 1825105613. The reversal of 1825105608 is 8065015281.

1825105608 is a `hidden beast` number, since 1 + 82 + 5 + 10 + 560 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1468575684 + 356529924 = 38322^2 + 18882^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 426198 + ... + 430458.

Almost surely, 2^1825105608 is an apocalyptic number.

1825105608 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 1825105608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560460430).

1825105608 is an abundant number, since it is smaller than the sum of its proper divisors (3295815252).

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

1825105608 is a wasteful number, since it uses less digits than its factorization.

1825105608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1825105608 is about 42721.2547568538. The cubic root of 1825105608 is about 1222.0697661789.

The spelling of 1825105608 in words is "one billion, eight hundred twenty-five million, one hundred five thousand, six hundred eight".