1006621552005 has 32 divisors (see below), whose sum is σ = 1719704549376. Its totient is φ = 501580478784.

The previous prime is 1006621552003. The next prime is 1006621552009. The reversal of 1006621552005 is 5002551266001.

It is not a de Polignac number, because 1006621552005 - 2¹ = 1006621552003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006621552003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33912417 + ... + 33942086.

It is an arithmetic number, because the mean of its divisors is an integer number (53740767168).

Almost surely, 2^{1006621552005} is an apocalyptic number.

1006621552005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006621552005 is a deficient number, since it is larger than the sum of its proper divisors (713082997371).

1006621552005 is a wasteful number, since it uses less digits than its factorization.

1006621552005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67854577.

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 1006621552005 in words is "one trillion, six billion, six hundred twenty-one million, five hundred fifty-two thousand, five".