535341312 has 180 divisors, whose sum is σ = 1742150256. Its totient is φ = 162155520.

The previous prime is 535341311. The next prime is 535341329. The reversal of 535341312 is 213143535.

535341312 is a `hidden beast` number, since 5 + 3 + 5 + 341 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (535341311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 226923 + ... + 229269.

Almost surely, 2^535341312 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 535341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871075128).

535341312 is an abundant number, since it is smaller than the sum of its proper divisors (1206808944).

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

535341312 is a wasteful number, since it uses less digits than its factorization.

535341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2363 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 535341312 is about 23137.4439383438. The cubic root of 535341312 is about 811.9767358069.

Adding to 535341312 its reverse (213143535), we get a palindrome (748484847).

It can be divided in two parts, 5353 and 41312, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 535341312 in words is "five hundred thirty-five million, three hundred forty-one thousand, three hundred twelve".