613377520 has 80 divisors (see below), whose sum is σ = 1652894208. Its totient is φ = 207325440.

The previous prime is 613377517. The next prime is 613377529. The reversal of 613377520 is 25773316.

613377520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613377529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32047 + ... + 47473.

Almost surely, 2^613377520 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 613377520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826447104).

613377520 is an abundant number, since it is smaller than the sum of its proper divisors (1039516688).

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

613377520 is a wasteful number, since it uses less digits than its factorization.

613377520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15518 (or 15512 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The square root of 613377520 is about 24766.4595774204. The cubic root of 613377520 is about 849.6550018596.

The spelling of 613377520 in words is "six hundred thirteen million, three hundred seventy-seven thousand, five hundred twenty".