601413314106 has 64 divisors (see below), whose sum is σ = 1342880985600. Its totient is φ = 177982875840.

The previous prime is 601413314053. The next prime is 601413314111.

601413314106 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 31813045 + ... + 31831943.

It is an arithmetic number, because the mean of its divisors is an integer number (20982515400).

Almost surely, 2^601413314106 is an apocalyptic number.

601413314106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

601413314106 is an abundant number, since it is smaller than the sum of its proper divisors (741467671494).

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

601413314106 is a wasteful number, since it uses less digits than its factorization.

601413314106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30171.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 601413 and 314106, that added together give a palindrome (915519).

The spelling of 601413314106 in words is "six hundred one billion, four hundred thirteen million, three hundred fourteen thousand, one hundred six".