1005510005606 has 16 divisors (see below), whose sum is σ = 1561236830640. Its totient is φ = 485119121760.

The previous prime is 1005510005593. The next prime is 1005510005609. The reversal of 1005510005606 is 6065000155001.

It is a super-2 number, since 2×1005510005606² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005510005609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5253416 + ... + 5441451.

It is an arithmetic number, because the mean of its divisors is an integer number (97577301915).

Almost surely, 2^{1005510005606} is an apocalyptic number.

1005510005606 is a deficient number, since it is larger than the sum of its proper divisors (555726825034).

1005510005606 is a wasteful number, since it uses less digits than its factorization.

1005510005606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10696519.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 1005510005606 in words is "one trillion, five billion, five hundred ten million, five thousand, six hundred six".