6005115006 has 32 divisors (see below), whose sum is σ = 13267929600. Its totient is φ = 1796695680.

The previous prime is 6005114993. The next prime is 6005115019.

6005115006 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6005114993) and next prime (6005115019).

It is a super-2 number, since 2×6005115006² = 72122812470572760072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570651 + ... + 581078.

It is an arithmetic number, because the mean of its divisors is an integer number (414622800).

Almost surely, 2^6005115006 is an apocalyptic number.

6005115006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6005115006 is an abundant number, since it is smaller than the sum of its proper divisors (7262814594).

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

6005115006 is a wasteful number, since it uses less digits than its factorization.

6005115006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151824.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 6005115006 is about 77492.6771120988. The cubic root of 6005115006 is about 1817.6368118750.

It can be divided in two parts, 60051 and 15006, that added together give a palindrome (75057).

The spelling of 6005115006 in words is "six billion, five million, one hundred fifteen thousand, six".