508021020 has 144 divisors (see below), whose sum is σ = 1675870560. Its totient is φ = 123821568.

The previous prime is 508020977. The next prime is 508021021. The reversal of 508021020 is 20120805.

It is a super-3 number, since 3×508021020³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 508020984 and 508021002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508021021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249366 + ... + 251394.

It is an arithmetic number, because the mean of its divisors is an integer number (11637990).

Almost surely, 2^508021020 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 508021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837935280).

508021020 is an abundant number, since it is smaller than the sum of its proper divisors (1167849540).

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

508021020 is a wasteful number, since it uses less digits than its factorization.

508021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 508021020 is about 22539.3216401914. The cubic root of 508021020 is about 797.9222228077.

Adding to 508021020 its reverse (20120805), we get a palindrome (528141825).

The spelling of 508021020 in words is "five hundred eight million, twenty-one thousand, twenty".