512513620 has 48 divisors (see below), whose sum is σ = 1152461520. Its totient is φ = 190767104.

The previous prime is 512513609. The next prime is 512513633. The reversal of 512513620 is 26315215.

It can be written as a sum of positive squares in 8 ways, for example, as 14152644 + 498360976 = 3762^2 + 22324^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21792 + ... + 38728.

It is an arithmetic number, because the mean of its divisors is an integer number (24009615).

Almost surely, 2^512513620 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 512513620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576230760).

512513620 is an abundant number, since it is smaller than the sum of its proper divisors (639947900).

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

512513620 is a wasteful number, since it uses less digits than its factorization.

512513620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17052 (or 17050 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 512513620 is about 22638.7636588220. The cubic root of 512513620 is about 800.2674210142.

Adding to 512513620 its reverse (26315215), we get a palindrome (538828835).

It can be divided in two parts, 5 and 12513620, that multiplied together give a square (62568100 = 7910²).

The spelling of 512513620 in words is "five hundred twelve million, five hundred thirteen thousand, six hundred twenty".