512131620 has 192 divisors, whose sum is σ = 1925554176. Its totient is φ = 98219520.

The previous prime is 512131601. The next prime is 512131637. The reversal of 512131620 is 26131215.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55797 + ... + 64323.

It is an arithmetic number, because the mean of its divisors is an integer number (10028928).

Almost surely, 2^512131620 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 512131620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962777088).

512131620 is an abundant number, since it is smaller than the sum of its proper divisors (1413422556).

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

512131620 is a wasteful number, since it uses less digits than its factorization.

512131620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570 (or 8568 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 512131620 is about 22630.3252296559. The cubic root of 512131620 is about 800.0685462099.

Adding to 512131620 its reverse (26131215), we get a palindrome (538262835).

The spelling of 512131620 in words is "five hundred twelve million, one hundred thirty-one thousand, six hundred twenty".