6059449506 has 64 divisors (see below), whose sum is σ = 13470935040. Its totient is φ = 1801554240.

The previous prime is 6059449477. The next prime is 6059449507.

6059449506 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6059449507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2541591 + ... + 2543973.

It is an arithmetic number, because the mean of its divisors is an integer number (210483360).

Almost surely, 2^6059449506 is an apocalyptic number.

6059449506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6059449506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735467520).

6059449506 is an abundant number, since it is smaller than the sum of its proper divisors (7411485534).

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

6059449506 is a wasteful number, since it uses less digits than its factorization.

6059449506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 6059449506 is about 77842.4659552869. The cubic root of 6059449506 is about 1823.1023754274.

The spelling of 6059449506 in words is "six billion, fifty-nine million, four hundred forty-nine thousand, five hundred six".