4513820256 has 288 divisors, whose sum is σ = 14681616768. Its totient is φ = 1352816640.

The previous prime is 4513820251. The next prime is 4513820261. The reversal of 4513820256 is 6520283154.

It is an interprime number because it is at equal distance from previous prime (4513820251) and next prime (4513820261).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4513820256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4513820251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9665335 + ... + 9665801.

It is an arithmetic number, because the mean of its divisors is an integer number (50977836).

Almost surely, 2^4513820256 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 4513820256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340808384).

4513820256 is an abundant number, since it is smaller than the sum of its proper divisors (10167796512).

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

4513820256 is a wasteful number, since it uses less digits than its factorization.

4513820256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4513820256 is about 67184.9704621502. The cubic root of 4513820256 is about 1652.6520260543.

The spelling of 4513820256 in words is "four billion, five hundred thirteen million, eight hundred twenty thousand, two hundred fifty-six".