2005551006 has 32 divisors (see below), whose sum is σ = 4100917248. Its totient is φ = 653579040.

The previous prime is 2005551001. The next prime is 2005551011. The reversal of 2005551006 is 6001555002.

It is an interprime number because it is at equal distance from previous prime (2005551001) and next prime (2005551011).

It is a super-2 number, since 2×2005551006² = 8044469675335224072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005551001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295851 + ... + 302553.

It is an arithmetic number, because the mean of its divisors is an integer number (128153664).

Almost surely, 2^2005551006 is an apocalyptic number.

2005551006 is an abundant number, since it is smaller than the sum of its proper divisors (2095366242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005551006 is a wasteful number, since it uses less digits than its factorization.

2005551006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2005551006 is about 44783.3786800415. The cubic root of 2005551006 is about 1261.0856113618.

The spelling of 2005551006 in words is "two billion, five million, five hundred fifty-one thousand, six".