4513725216 has 768 divisors, whose sum is σ = 18776862720. Its totient is φ = 1015234560.

The previous prime is 4513725191. The next prime is 4513725257. The reversal of 4513725216 is 6125273154.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (50400) is a multiple of the sum of its prime divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14702535 + ... + 14702841.

It is an arithmetic number, because the mean of its divisors is an integer number (24449040).

Almost surely, 2^4513725216 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 4513725216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9388431360).

4513725216 is an abundant number, since it is smaller than the sum of its proper divisors (14263137504).

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

4513725216 is a wasteful number, since it uses less digits than its factorization.

4513725216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 4513725216 is about 67184.2631573793. The cubic root of 4513725216 is about 1652.6404269253.

The spelling of 4513725216 in words is "four billion, five hundred thirteen million, seven hundred twenty-five thousand, two hundred sixteen".