506033820 has 36 divisors (see below), whose sum is σ = 1534969800. Its totient is φ = 134942304.

The previous prime is 506033791. The next prime is 506033851. The reversal of 506033820 is 28330605.

506033820 is a `hidden beast` number, since 5 + 0 + 603 + 38 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1405470 + ... + 1405829.

It is an arithmetic number, because the mean of its divisors is an integer number (42638050).

Almost surely, 2^506033820 is an apocalyptic number.

It is an amenable number.

506033820 is an abundant number, since it is smaller than the sum of its proper divisors (1028935980).

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

506033820 is a wasteful number, since it uses less digits than its factorization.

506033820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811314 (or 2811309 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506033820 is about 22495.1954870368. The cubic root of 506033820 is about 796.8804660294.

The spelling of 506033820 in words is "five hundred six million, thirty-three thousand, eight hundred twenty".