4532513040 has 240 divisors, whose sum is σ = 16992930240. Its totient is φ = 1073157120.

The previous prime is 4532513039. The next prime is 4532513047. The reversal of 4532513040 is 403152354.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 4532512995 and 4532513013.

It is not an unprimeable number, because it can be changed into a prime (4532513047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333906 + ... + 347214.

It is an arithmetic number, because the mean of its divisors is an integer number (70803876).

Almost surely, 2^4532513040 is an apocalyptic number.

4532513040 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 4532513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496465120).

4532513040 is an abundant number, since it is smaller than the sum of its proper divisors (12460417200).

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

4532513040 is a wasteful number, since it uses less digits than its factorization.

4532513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13382 (or 13373 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4532513040 is about 67323.9410611114. The cubic root of 4532513040 is about 1654.9302234465.

Adding to 4532513040 its reverse (403152354), we get a palindrome (4935665394).

The spelling of 4532513040 in words is "four billion, five hundred thirty-two million, five hundred thirteen thousand, forty".