512704512 has 240 divisors, whose sum is σ = 1625243200. Its totient is φ = 159252480.

The previous prime is 512704501. The next prime is 512704519. The reversal of 512704512 is 215407215.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512704519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8404962 + ... + 8405022.

Almost surely, 2^512704512 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 512704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812621600).

512704512 is an abundant number, since it is smaller than the sum of its proper divisors (1112538688).

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

512704512 is an equidigital number, since it uses as much as digits as its factorization.

512704512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 512704512 is about 22642.9793092694. The cubic root of 512704512 is about 800.3667651618.

The spelling of 512704512 in words is "five hundred twelve million, seven hundred four thousand, five hundred twelve".