512534000132 has 96 divisors (see below), whose sum is σ = 1136266500096. Its totient is φ = 196479360000.

The previous prime is 512534000131. The next prime is 512534000141. The reversal of 512534000132 is 231000435215.

It is a happy number.

It is a super-2 number, since 2×512534000132² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (512534000131) 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, 18290132 + ... + 18318132.

It is an arithmetic number, because the mean of its divisors is an integer number (11836109376).

Almost surely, 2^512534000132 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 512534000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568133250048).

512534000132 is an abundant number, since it is smaller than the sum of its proper divisors (623732499964).

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

512534000132 is a wasteful number, since it uses less digits than its factorization.

512534000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28977 (or 28975 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 512534000132 its reverse (231000435215), we get a palindrome (743534435347).

The spelling of 512534000132 in words is "five hundred twelve billion, five hundred thirty-four million, one hundred thirty-two", and thus it is an aban number.