501685652063232 has 5280 divisors, whose sum is σ = 2088746611015680. Its totient is φ = 118724395991040.

The previous prime is 501685652063129. The next prime is 501685652063243. The reversal of 501685652063232 is 232360256586105.

501685652063232 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 8 + 56 + 520 + 6 + 32 + 32 = 666.

It is a super-2 number, since 2×501685652063232² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 10674162809833 + ... + 10674162809879.

It is an arithmetic number, because the mean of its divisors is an integer number (395595949056).

Almost surely, 2^{501685652063232} is an apocalyptic number.

501685652063232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501685652063232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044373305507840).

501685652063232 is an abundant number, since it is smaller than the sum of its proper divisors (1587060958952448).

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

501685652063232 is an equidigital number, since it uses as much as digits as its factorization.

501685652063232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 501685652063232 in words is "five hundred one trillion, six hundred eighty-five billion, six hundred fifty-two million, sixty-three thousand, two hundred thirty-two".