4511052000 has 1344 divisors, whose sum is σ = 21655880064. Its totient is φ = 895795200.

The previous prime is 4511051999. The next prime is 4511052011. The reversal of 4511052000 is 2501154.

4511052000 is a `hidden beast` number, since 451 + 10 + 5 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 265355992 + ... + 265356008.

It is an arithmetic number, because the mean of its divisors is an integer number (16113006).

Almost surely, 2^4511052000 is an apocalyptic number.

4511052000 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 4511052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827940032).

4511052000 is an abundant number, since it is smaller than the sum of its proper divisors (17144828064).

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

4511052000 is a wasteful number, since it uses less digits than its factorization.

4511052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 4511052000 is about 67164.3655519800. The cubic root of 4511052000 is about 1652.3141083410.

Adding to 4511052000 its reverse (2501154), we get a palindrome (4513553154).

The spelling of 4511052000 in words is "four billion, five hundred eleven million, fifty-two thousand".