1006725232813 has 2 divisors, whose sum is σ = 1006725232814. Its totient is φ = 1006725232812.

The previous prime is 1006725232787. The next prime is 1006725232853. The reversal of 1006725232813 is 3182325276001.

It is an a-pointer prime, because the next prime (1006725232853) can be obtained adding 1006725232813 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1005643941124 + 1081291689 = 1002818^2 + 32883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006725232813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006725232853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503362616406 + 503362616407.

It is an arithmetic number, because the mean of its divisors is an integer number (503362616407).

Almost surely, 2^{1006725232813} is an apocalyptic number.

It is an amenable number.

1006725232813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006725232813 is an equidigital number, since it uses as much as digits as its factorization.

1006725232813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1006725232813 in words is "one trillion, six billion, seven hundred twenty-five million, two hundred thirty-two thousand, eight hundred thirteen".