535205632 has 72 divisors (see below), whose sum is σ = 1166788784. Its totient is φ = 243523584.

The previous prime is 535205603. The next prime is 535205633. The reversal of 535205632 is 236502535.

It is a junction number, because it is equal to n+sod(n) for n = 535205594 and 535205603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535205633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241843 + ... + 244045.

Almost surely, 2^535205632 is an apocalyptic number.

535205632 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 535205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583394392).

535205632 is an abundant number, since it is smaller than the sum of its proper divisors (631583152).

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

535205632 is a wasteful number, since it uses less digits than its factorization.

535205632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 535205632 is about 23134.5117087005. The cubic root of 535205632 is about 811.9081326500.

The spelling of 535205632 in words is "five hundred thirty-five million, two hundred five thousand, six hundred thirty-two".