610616056050 has 576 divisors, whose sum is σ = 2262251706624. Its totient is φ = 113952614400.

The previous prime is 610616056049. The next prime is 610616056051. The reversal of 610616056050 is 50650616016.

610616056050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (610616056049) and next prime (610616056051).

It is a super-3 number, since 3×610616056050³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 610616055996 and 610616056014.

It is not an unprimeable number, because it can be changed into a prime (610616056051) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16648332 + ... + 16684968.

It is an arithmetic number, because the mean of its divisors is an integer number (3927520324).

Almost surely, 2^610616056050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610616056050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131125853312).

610616056050 is an abundant number, since it is smaller than the sum of its proper divisors (1651635650574).

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

610616056050 is a wasteful number, since it uses less digits than its factorization.

610616056050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36723 (or 36715 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 610616056050 in words is "six hundred ten billion, six hundred sixteen million, fifty-six thousand, fifty".