512801532 has 72 divisors (see below), whose sum is σ = 1378868400. Its totient is φ = 160132608.

The previous prime is 512801503. The next prime is 512801533. The reversal of 512801532 is 235108215.

It is a happy number.

512801532 is a `hidden beast` number, since 5 + 128 + 0 + 1 + 532 = 666.

It is a super-2 number, since 2×512801532² = 525930822443094048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512801496 and 512801505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512801533) 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 23 ways as a sum of consecutive naturals, for example, 138319 + ... + 141977.

It is an arithmetic number, because the mean of its divisors is an integer number (19150950).

Almost surely, 2^512801532 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 512801532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689434200).

512801532 is an abundant number, since it is smaller than the sum of its proper divisors (866066868).

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

512801532 is a wasteful number, since it uses less digits than its factorization.

512801532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 512801532 is about 22645.1215938444. The cubic root of 512801532 is about 800.4172469268.

Adding to 512801532 its reverse (235108215), we get a palindrome (747909747).

The spelling of 512801532 in words is "five hundred twelve million, eight hundred one thousand, five hundred thirty-two".