4513625600 has 120 divisors (see below), whose sum is σ = 12199864248. Its totient is φ = 1641267200.

The previous prime is 4513625587. The next prime is 4513625609. The reversal of 4513625600 is 65263154.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4513625609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124772 + ... + 156828.

Almost surely, 2^4513625600 is an apocalyptic number.

4513625600 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 4513625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099932124).

4513625600 is an abundant number, since it is smaller than the sum of its proper divisors (7686238648).

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

4513625600 is a wasteful number, since it uses less digits than its factorization.

4513625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32096 (or 32075 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 4513625600 is about 67183.5217892007. The cubic root of 4513625600 is about 1652.6282691449.

Adding to 4513625600 its reverse (65263154), we get a palindrome (4578888754).

The spelling of 4513625600 in words is "four billion, five hundred thirteen million, six hundred twenty-five thousand, six hundred".