512425872 has 160 divisors (see below), whose sum is σ = 1722389760. Its totient is φ = 142801920.

The previous prime is 512425867. The next prime is 512425873. The reversal of 512425872 is 278524215.

It is a happy number.

512425872 is a `hidden beast` number, since 51 + 24 + 2 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (512425873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121918 + ... + 126050.

It is an arithmetic number, because the mean of its divisors is an integer number (10764936).

Almost surely, 2^512425872 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 512425872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861194880).

512425872 is an abundant number, since it is smaller than the sum of its proper divisors (1209963888).

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

512425872 is a wasteful number, since it uses less digits than its factorization.

512425872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4186 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 512425872 is about 22636.8255725046. The cubic root of 512425872 is about 800.2217468631.

The spelling of 512425872 in words is "five hundred twelve million, four hundred twenty-five thousand, eight hundred seventy-two".