1006613661953 has 2 divisors, whose sum is σ = 1006613661954. Its totient is φ = 1006613661952.

The previous prime is 1006613661931. The next prime is 1006613662051. The reversal of 1006613661953 is 3591663166001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998286734449 + 8326927504 = 999143^2 + 91252^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006613661953 - 2¹⁰ = 1006613660929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006613661898 and 1006613661907.

It is not a weakly prime, because it can be changed into another prime (1006613660953) 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, 503306830976 + 503306830977.

It is an arithmetic number, because the mean of its divisors is an integer number (503306830977).

Almost surely, 2^{1006613661953} is an apocalyptic number.

It is an amenable number.

1006613661953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006613661953 is an equidigital number, since it uses as much as digits as its factorization.

1006613661953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 524880, while the sum is 47.

The spelling of 1006613661953 in words is "one trillion, six billion, six hundred thirteen million, six hundred sixty-one thousand, nine hundred fifty-three".