535100020 has 192 divisors, whose sum is σ = 1450939392. Its totient is φ = 161280000.

The previous prime is 535100011. The next prime is 535100039. The reversal of 535100020 is 20001535.

535100020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 535099967 and 535100003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5297970 + ... + 5298070.

It is an arithmetic number, because the mean of its divisors is an integer number (7556976).

Almost surely, 2^535100020 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 535100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725469696).

535100020 is an abundant number, since it is smaller than the sum of its proper divisors (915839372).

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

535100020 is a wasteful number, since it uses less digits than its factorization.

535100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 535100020 is about 23132.2290322398. The cubic root of 535100020 is about 811.8547245906.

Adding to 535100020 its reverse (20001535), we get a palindrome (555101555).

The spelling of 535100020 in words is "five hundred thirty-five million, one hundred thousand, twenty".