536015520 has 144 divisors (see below), whose sum is σ = 1837678752. Its totient is φ = 142272000.

The previous prime is 536015471. The next prime is 536015521. The reversal of 536015520 is 25510635.

536015520 is a `hidden beast` number, since 5 + 3 + 601 + 5 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (536015521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360699 + ... + 362181.

It is an arithmetic number, because the mean of its divisors is an integer number (12761658).

Almost surely, 2^536015520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536015520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918839376).

536015520 is an abundant number, since it is smaller than the sum of its proper divisors (1301663232).

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

536015520 is a wasteful number, since it uses less digits than its factorization.

536015520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 536015520 is about 23152.0089841033. The cubic root of 536015520 is about 812.3174602158.

The spelling of 536015520 in words is "five hundred thirty-six million, fifteen thousand, five hundred twenty".