506829132 has 36 divisors (see below), whose sum is σ = 1310949640. Its totient is φ = 165013632.

The previous prime is 506829107. The next prime is 506829133. The reversal of 506829132 is 231928605.

It is a tau number, because it is divible by the number of its divisors (36).

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 (506829133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162157 + ... + 165252.

Almost surely, 2^506829132 is an apocalyptic number.

It is an amenable number.

506829132 is an abundant number, since it is smaller than the sum of its proper divisors (804120508).

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

506829132 is a wasteful number, since it uses less digits than its factorization.

506829132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327462 (or 327457 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 506829132 is about 22512.8659215125. The cubic root of 506829132 is about 797.2977219777.

The spelling of 506829132 in words is "five hundred six million, eight hundred twenty-nine thousand, one hundred thirty-two".