1005217012605 has 32 divisors (see below), whose sum is σ = 1732439729664. Its totient is φ = 494769355776.

The previous prime is 1005217012601. The next prime is 1005217012607. The reversal of 1005217012605 is 5062107125001.

It is not a de Polignac number, because 1005217012605 - 2² = 1005217012601 is a prime.

It is a super-2 number, since 2×1005217012605² (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 (1005217012601) 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, 354652 + ... + 1461578.

It is an arithmetic number, because the mean of its divisors is an integer number (54138741552).

Almost surely, 2^{1005217012605} is an apocalyptic number.

1005217012605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005217012605 is a deficient number, since it is larger than the sum of its proper divisors (727222717059).

1005217012605 is a wasteful number, since it uses less digits than its factorization.

1005217012605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111605.

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 1005217012605 in words is "one trillion, five billion, two hundred seventeen million, twelve thousand, six hundred five".