512414532 has 96 divisors (see below), whose sum is σ = 1525305600. Its totient is φ = 145725696.

The previous prime is 512414519. The next prime is 512414537. The reversal of 512414532 is 235414215.

512414532 is a `hidden beast` number, since 5 + 124 + 1 + 4 + 532 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 512414496 and 512414505.

It is not an unprimeable number, because it can be changed into a prime (512414537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174694 + ... + 177602.

It is an arithmetic number, because the mean of its divisors is an integer number (15888600).

Almost surely, 2^512414532 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 512414532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762652800).

512414532 is an abundant number, since it is smaller than the sum of its proper divisors (1012891068).

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

512414532 is a wasteful number, since it uses less digits than its factorization.

512414532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3154 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 512414532 is about 22636.5750943026. The cubic root of 512414532 is about 800.2158438424.

Adding to 512414532 its reverse (235414215), we get a palindrome (747828747).

The spelling of 512414532 in words is "five hundred twelve million, four hundred fourteen thousand, five hundred thirty-two".