536432512 has 128 divisors (see below), whose sum is σ = 1369313280. Its totient is φ = 203212800.

The previous prime is 536432509. The next prime is 536432527. The reversal of 536432512 is 215234635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 363937 + ... + 365407.

It is an arithmetic number, because the mean of its divisors is an integer number (10697760).

Almost surely, 2^536432512 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 536432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684656640).

536432512 is an abundant number, since it is smaller than the sum of its proper divisors (832880768).

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

536432512 is a wasteful number, since it uses less digits than its factorization.

536432512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1528 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 536432512 is about 23161.0127585130. The cubic root of 536432512 is about 812.5280524279.

The spelling of 536432512 in words is "five hundred thirty-six million, four hundred thirty-two thousand, five hundred twelve".