613345152 has 192 divisors, whose sum is σ = 1948620240. Its totient is φ = 170311680.

The previous prime is 613345151. The next prime is 613345207. The reversal of 613345152 is 251543316.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613345151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695752 + ... + 696632.

Almost surely, 2^613345152 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 613345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974310120).

613345152 is an abundant number, since it is smaller than the sum of its proper divisors (1335275088).

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

613345152 is a wasteful number, since it uses less digits than its factorization.

613345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 930 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 613345152 is about 24765.8061043851. The cubic root of 613345152 is about 849.6400561337.

Adding to 613345152 its reverse (251543316), we get a palindrome (864888468).

The spelling of 613345152 in words is "six hundred thirteen million, three hundred forty-five thousand, one hundred fifty-two".