510145020 has 192 divisors, whose sum is σ = 1978905600. Its totient is φ = 105995520.

The previous prime is 510144977. The next prime is 510145033. The reversal of 510145020 is 20541015.

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 = 510144984 and 510145002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35446 + ... + 47714.

It is an arithmetic number, because the mean of its divisors is an integer number (10306800).

Almost surely, 2^510145020 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 510145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989452800).

510145020 is an abundant number, since it is smaller than the sum of its proper divisors (1468760580).

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

510145020 is a wasteful number, since it uses less digits than its factorization.

510145020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12305 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 510145020 is about 22586.3901498225. The cubic root of 510145020 is about 799.0326954571.

Adding to 510145020 its reverse (20541015), we get a palindrome (530686035).

It can be divided in two parts, 510 and 145020, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 510145020 in words is "five hundred ten million, one hundred forty-five thousand, twenty".