1006005125 has 16 divisors (see below), whose sum is σ = 1261898352. Its totient is φ = 800699200.

The previous prime is 1006005113. The next prime is 1006005127. The reversal of 1006005125 is 5215006001.

It can be written as a sum of positive squares in 8 ways, for example, as 5484964 + 1000520161 = 2342^2 + 31631^2 .

It is not a de Polignac number, because 1006005125 - 2¹⁸ = 1005742981 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1006005097 and 1006005106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006005127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4199 + ... + 45051.

It is an arithmetic number, because the mean of its divisors is an integer number (78868647).

Almost surely, 2^1006005125 is an apocalyptic number.

It is an amenable number.

1006005125 is a deficient number, since it is larger than the sum of its proper divisors (255893227).

1006005125 is an equidigital number, since it uses as much as digits as its factorization.

1006005125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41065 (or 41055 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1006005125 is about 31717.5838455580. The cubic root of 1006005125 is about 1001.9977148113.

The spelling of 1006005125 in words is "one billion, six million, five thousand, one hundred twenty-five".