512209152 has 324 divisors, whose sum is σ = 1855389900. Its totient is φ = 134701056.

The previous prime is 512209147. The next prime is 512209177. The reversal of 512209152 is 251902215.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 293642496 = 14784^2 + 17136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1467474 + ... + 1467822.

Almost surely, 2^512209152 is an apocalyptic number.

512209152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512209152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927694950).

512209152 is an abundant number, since it is smaller than the sum of its proper divisors (1343180748).

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

512209152 is a wasteful number, since it uses less digits than its factorization.

512209152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 512209152 is about 22632.0381760017. The cubic root of 512209152 is about 800.1089185036.

The spelling of 512209152 in words is "five hundred twelve million, two hundred nine thousand, one hundred fifty-two".