512013520 has 60 divisors (see below), whose sum is σ = 1256454180. Its totient is φ = 194015232.

The previous prime is 512013517. The next prime is 512013521. The reversal of 512013520 is 25310215.

It can be written as a sum of positive squares in 2 ways, for example, as 264517696 + 247495824 = 16264^2 + 15732^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512013521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20016 + ... + 37744.

It is an arithmetic number, because the mean of its divisors is an integer number (20940903).

Almost surely, 2^512013520 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 512013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628227090).

512013520 is an abundant number, since it is smaller than the sum of its proper divisors (744440660).

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

512013520 is a wasteful number, since it uses less digits than its factorization.

512013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17780 (or 17755 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 512013520 is about 22627.7157486124. The cubic root of 512013520 is about 800.0070416047.

Adding to 512013520 its reverse (25310215), we get a palindrome (537323735).

It can be divided in two parts, 5120 and 13520, that multiplied together give a square (69222400 = 8320²).

The spelling of 512013520 in words is "five hundred twelve million, thirteen thousand, five hundred twenty".