4531525320 has 256 divisors, whose sum is σ = 16422912000. Its totient is φ = 977872896.

The previous prime is 4531525307. The next prime is 4531525363. The reversal of 4531525320 is 235251354.

4531525320 = T₄₃₄ + T₄₃₅ + ... + T₃₀₀₉.

It is a super-2 number, since 2×4531525320² = 41069443451602204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1524796 + ... + 1527764.

It is an arithmetic number, because the mean of its divisors is an integer number (64152000).

Almost surely, 2^4531525320 is an apocalyptic number.

4531525320 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 4531525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211456000).

4531525320 is an abundant number, since it is smaller than the sum of its proper divisors (11891386680).

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

4531525320 is a wasteful number, since it uses less digits than its factorization.

4531525320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 4531525320 is about 67316.6050837384. The cubic root of 4531525320 is about 1654.8100012197.

Adding to 4531525320 its reverse (235251354), we get a palindrome (4766776674).

The spelling of 4531525320 in words is "four billion, five hundred thirty-one million, five hundred twenty-five thousand, three hundred twenty".