501164532 has 72 divisors (see below), whose sum is σ = 1404722592. Its totient is φ = 149371200.

The previous prime is 501164513. The next prime is 501164551. The reversal of 501164532 is 235461105.

501164532 is a `hidden beast` number, since 5 + 0 + 11 + 645 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (501164513) and next prime (501164551).

It is a junction number, because it is equal to n+sod(n) for n = 501164496 and 501164505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13783 + ... + 34529.

It is an arithmetic number, because the mean of its divisors is an integer number (19510036).

Almost surely, 2^501164532 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 501164532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702361296).

501164532 is an abundant number, since it is smaller than the sum of its proper divisors (903558060).

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

501164532 is a wasteful number, since it uses less digits than its factorization.

501164532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20829 (or 20824 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 501164532 is about 22386.7043577209. The cubic root of 501164532 is about 794.3162413250.

The spelling of 501164532 in words is "five hundred one million, one hundred sixty-four thousand, five hundred thirty-two".