512005120 has 88 divisors (see below), whose sum is σ = 1340015328. Its totient is φ = 186163200.

The previous prime is 512005097. The next prime is 512005129. The reversal of 512005120 is 21500215.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 512005094 and 512005103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512005129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51775 + ... + 60865.

Almost surely, 2^512005120 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 512005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670007664).

512005120 is an abundant number, since it is smaller than the sum of its proper divisors (828010208).

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

512005120 is a wasteful number, since it uses less digits than its factorization.

512005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 512005120 is about 22627.5301347717. The cubic root of 512005120 is about 800.0026666578.

Adding to 512005120 its reverse (21500215), we get a palindrome (533505335).

It can be divided in two parts, 51200 and 5120, that multiplied together give a cube (262144000 = 640³).

The spelling of 512005120 in words is "five hundred twelve million, five thousand, one hundred twenty".