613122221316 has 144 divisors (see below), whose sum is σ = 1602963028800. Its totient is φ = 182213011200.

The previous prime is 613122221311. The next prime is 613122221407.

613122221316 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (613122221311) 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 47 ways as a sum of consecutive naturals, for example, 30724510 + ... + 30744458.

It is an arithmetic number, because the mean of its divisors is an integer number (11131687700).

Almost surely, 2^613122221316 is an apocalyptic number.

613122221316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613122221316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801481514400).

613122221316 is an abundant number, since it is smaller than the sum of its proper divisors (989840807484).

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

613122221316 is a wasteful number, since it uses less digits than its factorization.

613122221316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20386 (or 20373 counting only the distinct ones).

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

It can be divided in two parts, 613122 and 221316, that added together give a palindrome (834438).

The spelling of 613122221316 in words is "six hundred thirteen billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred sixteen".