4513051152000 has 384 divisors, whose sum is σ = 17060531342400. Its totient is φ = 1140138547200.

The previous prime is 4513051151977. The next prime is 4513051152007. The reversal of 4513051152000 is 2511503154.

4513051152000 is a `hidden beast` number, since 4 + 5 + 130 + 5 + 1 + 1 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4513051152007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1911247 + ... + 3560753.

Almost surely, 2^{4513051152000} is an apocalyptic number.

4513051152000 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 4513051152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530265671200).

4513051152000 is an abundant number, since it is smaller than the sum of its proper divisors (12547480190400).

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

4513051152000 is a wasteful number, since it uses less digits than its factorization.

4513051152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649561 (or 1649536 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 4513051152000 its reverse (2511503154), we get a palindrome (4515562655154).

The spelling of 4513051152000 in words is "four trillion, five hundred thirteen billion, fifty-one million, one hundred fifty-two thousand".