501132644366352 has 160 divisors (see below), whose sum is σ = 1318879221327360. Its totient is φ = 163920664750080.

The previous prime is 501132644366279. The next prime is 501132644366363. The reversal of 501132644366352 is 253663446231105.

It is a super-2 number, since 2×501132644366352² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 501132644366295 and 501132644366304.

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 31 ways as a sum of consecutive naturals, for example, 8771612827 + ... + 8771669957.

It is an arithmetic number, because the mean of its divisors is an integer number (8242995133296).

Almost surely, 2^{501132644366352} 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 501132644366352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659439610663680).

501132644366352 is an abundant number, since it is smaller than the sum of its proper divisors (817746576961008).

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

501132644366352 is a wasteful number, since it uses less digits than its factorization.

501132644366352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62661 (or 62655 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 501132644366352 in words is "five hundred one trillion, one hundred thirty-two billion, six hundred forty-four million, three hundred sixty-six thousand, three hundred fifty-two".