501727313664612 has 288 divisors, whose sum is σ = 1544451098141952. Its totient is φ = 134060983123968.

The previous prime is 501727313664611. The next prime is 501727313664649. The reversal of 501727313664612 is 216466313727105.

501727313664612 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 2 + 7 + 3 + 13 + 6 + 6 + 4 + 612 = 666.

It is a super-2 number, since 2×501727313664612² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501727313664611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3263041638 + ... + 3263195394.

It is an arithmetic number, because the mean of its divisors is an integer number (5362677424104).

Almost surely, 2^{501727313664612} 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 501727313664612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772225549070976).

501727313664612 is an abundant number, since it is smaller than the sum of its proper divisors (1042723784477340).

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

501727313664612 is a wasteful number, since it uses less digits than its factorization.

501727313664612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158627 (or 158622 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 501727313664612 in words is "five hundred one trillion, seven hundred twenty-seven billion, three hundred thirteen million, six hundred sixty-four thousand, six hundred twelve".