535665312 has 288 divisors, whose sum is σ = 1946835072. Its totient is φ = 141087744.

The previous prime is 535665311. The next prime is 535665343. The reversal of 535665312 is 213566535.

535665312 is a `hidden beast` number, since 535 + 66 + 53 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (535665311) 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 47 ways as a sum of consecutive naturals, for example, 707238 + ... + 707994.

It is an arithmetic number, because the mean of its divisors is an integer number (6759844).

Almost surely, 2^535665312 is an apocalyptic number.

535665312 is a gapful number since it is divisible by the number (52) 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 535665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973417536).

535665312 is an abundant number, since it is smaller than the sum of its proper divisors (1411169760).

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

535665312 is a wasteful number, since it uses less digits than its factorization.

535665312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 782 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 535665312 is about 23144.4445169894. Note that the first 3 decimals coincide. The cubic root of 535665312 is about 812.1405113275.

The spelling of 535665312 in words is "five hundred thirty-five million, six hundred sixty-five thousand, three hundred twelve".