1006000051025 has 12 divisors (see below), whose sum is σ = 1247466501900. Its totient is φ = 804782983680.

The previous prime is 1006000050977. The next prime is 1006000051027. The reversal of 1006000051025 is 5201500006001.

It can be written as a sum of positive squares in 6 ways, for example, as 48375363136 + 957624687889 = 219944^2 + 978583^2 .

It is not a de Polignac number, because 1006000051025 - 2³⁶ = 937280574289 is a prime.

It is a super-2 number, since 2×1006000051025² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1006000050988 and 1006000051006.

It is not an unprimeable number, because it can be changed into a prime (1006000051027) 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 11 ways as a sum of consecutive naturals, for example, 851861 + ... + 1654589.

It is an arithmetic number, because the mean of its divisors is an integer number (103955541825).

Almost surely, 2^{1006000051025} is an apocalyptic number.

It is an amenable number.

1006000051025 is a deficient number, since it is larger than the sum of its proper divisors (241466450875).

1006000051025 is an equidigital number, since it uses as much as digits as its factorization.

1006000051025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852868 (or 852863 counting only the distinct ones).

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

Adding to 1006000051025 its reverse (5201500006001), we get a palindrome (6207500057026).

The spelling of 1006000051025 in words is "one trillion, six billion, fifty-one thousand, twenty-five".