1005166215551 has 16 divisors (see below), whose sum is σ = 1104232569600. Its totient is φ = 910728137088.

The previous prime is 1005166215509. The next prime is 1005166215553. The reversal of 1005166215551 is 1555126615001.

It is a cyclic number.

It is not a de Polignac number, because 1005166215551 - 2²² = 1005162021247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005166215553) 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 in 15 ways as a sum of consecutive naturals, for example, 2920940 + ... + 3246878.

It is an arithmetic number, because the mean of its divisors is an integer number (69014535600).

Almost surely, 2^{1005166215551} is an apocalyptic number.

1005166215551 is a deficient number, since it is larger than the sum of its proper divisors (99066354049).

1005166215551 is a wasteful number, since it uses less digits than its factorization.

1005166215551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333038.

The product of its (nonzero) digits is 45000, while the sum is 38.

The spelling of 1005166215551 in words is "one trillion, five billion, one hundred sixty-six million, two hundred fifteen thousand, five hundred fifty-one".