1006561516655 has 16 divisors (see below), whose sum is σ = 1242632512800. Its totient is φ = 782150908032.

The previous prime is 1006561516621. The next prime is 1006561516691. The reversal of 1006561516655 is 5566151656001.

It is a cyclic number.

It is not a de Polignac number, because 1006561516655 - 2¹² = 1006561512559 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4525880 + ... + 4743069.

It is an arithmetic number, because the mean of its divisors is an integer number (77664532050).

Almost surely, 2^{1006561516655} is an apocalyptic number.

1006561516655 is a deficient number, since it is larger than the sum of its proper divisors (236070996145).

1006561516655 is an equidigital number, since it uses as much as digits as its factorization.

1006561516655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9269578.

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 1006561516655 in words is "one trillion, six billion, five hundred sixty-one million, five hundred sixteen thousand, six hundred fifty-five".