1007166022005 has 64 divisors (see below), whose sum is σ = 1899279083520. Its totient is φ = 449309932800.

The previous prime is 1007166022003. The next prime is 1007166022021. The reversal of 1007166022005 is 5002206617001.

It is not a de Polignac number, because 1007166022005 - 2¹ = 1007166022003 is a prime.

It is a super-2 number, since 2×1007166022005² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007166022003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87795 + ... + 1421984.

It is an arithmetic number, because the mean of its divisors is an integer number (29676235680).

Almost surely, 2^{1007166022005} is an apocalyptic number.

1007166022005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007166022005 is a deficient number, since it is larger than the sum of its proper divisors (892113061515).

1007166022005 is a wasteful number, since it uses less digits than its factorization.

1007166022005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510122.

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 1007166022005 in words is "one trillion, seven billion, one hundred sixty-six million, twenty-two thousand, five".