510013020 has 96 divisors (see below), whose sum is σ = 1562158080. Its totient is φ = 123298560.

The previous prime is 510013013. The next prime is 510013061. The reversal of 510013020 is 20310015.

It is a super-2 number, since 2×510013020² = 520226561139040800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 510012987 and 510013005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304746 + ... + 306414.

It is an arithmetic number, because the mean of its divisors is an integer number (16272480).

Almost surely, 2^510013020 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 510013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781079040).

510013020 is an abundant number, since it is smaller than the sum of its proper divisors (1052145060).

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

510013020 is a wasteful number, since it uses less digits than its factorization.

510013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 510013020 is about 22583.4678470779. The cubic root of 510013020 is about 798.9637729547.

Adding to 510013020 its reverse (20310015), we get a palindrome (530323035).

The spelling of 510013020 in words is "five hundred ten million, thirteen thousand, twenty".