1001085125 has 16 divisors (see below), whose sum is σ = 1252563312. Its totient is φ = 798811200.

The previous prime is 1001085079. The next prime is 1001085131. The reversal of 1001085125 is 5215801001.

It can be written as a sum of positive squares in 8 ways, for example, as 21520321 + 979564804 = 4639^2 + 31298^2 .

It is not a de Polignac number, because 1001085125 - 2⁸ = 1001084869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001085125.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39539 + ... + 59711.

It is an arithmetic number, because the mean of its divisors is an integer number (78285207).

Almost surely, 2^1001085125 is an apocalyptic number.

It is an amenable number.

1001085125 is a deficient number, since it is larger than the sum of its proper divisors (251478187).

1001085125 is an equidigital number, since it uses as much as digits as its factorization.

1001085125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20585 (or 20575 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 23.

The square root of 1001085125 is about 31639.9292824747. The cubic root of 1001085125 is about 1000.3615775792.

Adding to 1001085125 its reverse (5215801001), we get a palindrome (6216886126).

The spelling of 1001085125 in words is "one billion, one million, eighty-five thousand, one hundred twenty-five".