512015040 has 224 divisors, whose sum is σ = 1901952000. Its totient is φ = 129309696.

The previous prime is 512014969. The next prime is 512015051. The reversal of 512015040 is 40510215.

512015040 is a `hidden beast` number, since 512 + 0 + 150 + 4 + 0 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 162601 + ... + 165719.

Almost surely, 2^512015040 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 512015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950976000).

512015040 is an abundant number, since it is smaller than the sum of its proper divisors (1389936960).

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

512015040 is a wasteful number, since it uses less digits than its factorization.

512015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3148 counting only the distinct ones).

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

The square root of 512015040 is about 22627.7493357161. The cubic root of 512015040 is about 800.0078332566.

Adding to 512015040 its reverse (40510215), we get a palindrome (552525255).

The spelling of 512015040 in words is "five hundred twelve million, fifteen thousand, forty".