1005882125 has 8 divisors (see below), whose sum is σ = 1255341048. Its totient is φ = 804705600.

The previous prime is 1005882113. The next prime is 1005882127. The reversal of 1005882125 is 5212885001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 104329 + 1005777796 = 323^2 + 31714^2 .

It is not a de Polignac number, because 1005882125 - 2¹⁸ = 1005619981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005882091 and 1005882100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005882127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4023404 + ... + 4023653.

It is an arithmetic number, because the mean of its divisors is an integer number (156917631).

Almost surely, 2^1005882125 is an apocalyptic number.

It is an amenable number.

1005882125 is a deficient number, since it is larger than the sum of its proper divisors (249458923).

1005882125 is an frugal number, since it uses more digits than its factorization.

1005882125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047072 (or 8047062 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 1005882125 is about 31715.6447987425. The cubic root of 1005882125 is about 1001.9568764699.

The spelling of 1005882125 in words is "one billion, five million, eight hundred eighty-two thousand, one hundred twenty-five".