613216770100 has 288 divisors, whose sum is σ = 1532817893376. Its totient is φ = 210768729600.

The previous prime is 613216770013. The next prime is 613216770113. The reversal of 613216770100 is 1077612316.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1044662007 + ... + 1044662593.

It is an arithmetic number, because the mean of its divisors is an integer number (5322284352).

Almost surely, 2^613216770100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613216770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766408946688).

613216770100 is an abundant number, since it is smaller than the sum of its proper divisors (919601123276).

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

613216770100 is a wasteful number, since it uses less digits than its factorization.

613216770100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 613216770100 in words is "six hundred thirteen billion, two hundred sixteen million, seven hundred seventy thousand, one hundred".