1006613660929 has 2 divisors, whose sum is σ = 1006613660930. Its totient is φ = 1006613660928.

The previous prime is 1006613660887. The next prime is 1006613660933. The reversal of 1006613660929 is 9290663166001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 761390620929 + 245223040000 = 872577^2 + 495200^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006613660929 - 2¹⁵ = 1006613628161 is a prime.

It is a super-2 number, since 2×1006613660929² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1006613660959) 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 as a sum of consecutive naturals, namely, 503306830464 + 503306830465.

It is an arithmetic number, because the mean of its divisors is an integer number (503306830465).

Almost surely, 2^{1006613660929} is an apocalyptic number.

It is an amenable number.

1006613660929 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006613660929 is an equidigital number, since it uses as much as digits as its factorization.

1006613660929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 49.

The spelling of 1006613660929 in words is "one trillion, six billion, six hundred thirteen million, six hundred sixty thousand, nine hundred twenty-nine".