4513138560 has 320 divisors, whose sum is σ = 18421175520. Its totient is φ = 1031491584.

The previous prime is 4513138547. The next prime is 4513138607. The reversal of 4513138560 is 658313154.

4513138560 is a `hidden beast` number, since 4 + 513 + 1 + 3 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 356662 + ... + 369098.

Almost surely, 2^4513138560 is an apocalyptic number.

4513138560 is a gapful number since it is divisible by the number (40) 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 4513138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210587760).

4513138560 is an abundant number, since it is smaller than the sum of its proper divisors (13908036960).

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

4513138560 is a wasteful number, since it uses less digits than its factorization.

4513138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12475 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4513138560 is about 67179.8969930738. The cubic root of 4513138560 is about 1652.5688250604.

The spelling of 4513138560 in words is "four billion, five hundred thirteen million, one hundred thirty-eight thousand, five hundred sixty".