535509972 has 36 divisors (see below), whose sum is σ = 1375846836. Its totient is φ = 175576320.

The previous prime is 535509971. The next prime is 535509983. The reversal of 535509972 is 279905535.

535509972 is a `hidden beast` number, since 5 + 3 + 550 + 9 + 97 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135349956 + 400160016 = 11634^2 + 20004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×535509972³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535509971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119733 + ... + 124124.

Almost surely, 2^535509972 is an apocalyptic number.

It is an amenable number.

535509972 is an abundant number, since it is smaller than the sum of its proper divisors (840336864).

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

535509972 is a wasteful number, since it uses less digits than its factorization.

535509972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243928 (or 243923 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 535509972 is about 23141.0883927269. The cubic root of 535509972 is about 812.0619983076.

The spelling of 535509972 in words is "five hundred thirty-five million, five hundred nine thousand, nine hundred seventy-two".