1006323040025 has 12 divisors (see below), whose sum is σ = 1250147130924. Its totient is φ = 803570328000.

The previous prime is 1006323040003. The next prime is 1006323040057. The reversal of 1006323040025 is 5200403236001.

It can be written as a sum of positive squares in 6 ways, for example, as 14105837824 + 992217202201 = 118768^2 + 996101^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1006323040025 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 = 1006323039976 and 1006323040003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37188806 + ... + 37215855.

It is an arithmetic number, because the mean of its divisors is an integer number (104178927577).

Almost surely, 2^{1006323040025} is an apocalyptic number.

It is an amenable number.

1006323040025 is a deficient number, since it is larger than the sum of its proper divisors (243824090899).

1006323040025 is an equidigital number, since it uses as much as digits as its factorization.

1006323040025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74405212 (or 74405207 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 1006323040025 its reverse (5200403236001), we get a palindrome (6206726276026).

The spelling of 1006323040025 in words is "one trillion, six billion, three hundred twenty-three million, forty thousand, twenty-five".