1082007825 has 48 divisors (see below), whose sum is σ = 1823454720. Its totient is φ = 566023680.

The previous prime is 1082007811. The next prime is 1082007853. The reversal of 1082007825 is 5287002801.

It is not a de Polignac number, because 1082007825 - 2⁴ = 1082007809 is a prime.

It is a super-2 number, since 2×1082007825² = 2341481866722461250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253344 + ... + 1254206.

It is an arithmetic number, because the mean of its divisors is an integer number (37988640).

Almost surely, 2^1082007825 is an apocalyptic number.

1082007825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1082007825 is a deficient number, since it is larger than the sum of its proper divisors (741446895).

1082007825 is a wasteful number, since it uses less digits than its factorization.

1082007825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 1082007825 is about 32893.8873500838. The cubic root of 1082007825 is about 1026.6209767129.

The spelling of 1082007825 in words is "one billion, eighty-two million, seven thousand, eight hundred twenty-five".