4539525120 has 480 divisors, whose sum is σ = 17564306760. Its totient is φ = 1114767360.

The previous prime is 4539525119. The next prime is 4539525143. The reversal of 4539525120 is 215259354.

It is a happy number.

4539525120 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 525 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1254859776 + 3284665344 = 35424^2 + 57312^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4539525120² = 41214576630222028800, which contains 22 as substring.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 10782510 + ... + 10782930.

Almost surely, 2^4539525120 is an apocalyptic number.

4539525120 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 4539525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8782153380).

4539525120 is an abundant number, since it is smaller than the sum of its proper divisors (13024781640).

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

4539525120 is a wasteful number, since it uses less digits than its factorization.

4539525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 4539525120 is about 67375.9981002137. The cubic root of 4539525120 is about 1655.7832104364.

The spelling of 4539525120 in words is "four billion, five hundred thirty-nine million, five hundred twenty-five thousand, one hundred twenty".