512551502240 has 96 divisors (see below), whose sum is σ = 1222813746000. Its totient is φ = 203006435328.

The previous prime is 512551502209. The next prime is 512551502291. The reversal of 512551502240 is 42205155215.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 343100719504 + 169450782736 = 585748^2 + 411644^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 512551502197 and 512551502206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29098556 + ... + 29116164.

Almost surely, 2^512551502240 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 512551502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611406873000).

512551502240 is an abundant number, since it is smaller than the sum of its proper divisors (710262243760).

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

512551502240 is a wasteful number, since it uses less digits than its factorization.

512551502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19402 (or 19394 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

Adding to 512551502240 its reverse (42205155215), we get a palindrome (554756657455).

The spelling of 512551502240 in words is "five hundred twelve billion, five hundred fifty-one million, five hundred two thousand, two hundred forty".