613122363312 has 160 divisors (see below), whose sum is σ = 1652721647616. Its totient is φ = 195641222400.

The previous prime is 613122363289. The next prime is 613122363313. The reversal of 613122363312 is 213363221316.

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 (613122363313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187440237 + ... + 187443507.

Almost surely, 2^613122363312 is an apocalyptic number.

613122363312 is a gapful number since it is divisible by the number (62) 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 613122363312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826360823808).

613122363312 is an abundant number, since it is smaller than the sum of its proper divisors (1039599284304).

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

613122363312 is a wasteful number, since it uses less digits than its factorization.

613122363312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4633 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

Adding to 613122363312 its reverse (213363221316), we get a palindrome (826485584628).

The spelling of 613122363312 in words is "six hundred thirteen billion, one hundred twenty-two million, three hundred sixty-three thousand, three hundred twelve".