505751232526764 has 144 divisors (see below), whose sum is σ = 1374952762729728. Its totient is φ = 144268924770432.

The previous prime is 505751232526763. The next prime is 505751232526777. The reversal of 505751232526764 is 467625232157505.

It is a junction number, because it is equal to n+sod(n) for n = 505751232526698 and 505751232526707.

It is not an unprimeable number, because it can be changed into a prime (505751232526763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920518007 + ... + 1920781329.

It is an arithmetic number, because the mean of its divisors is an integer number (9548283074512).

Almost surely, 2^{505751232526764} 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 505751232526764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687476381364864).

505751232526764 is an abundant number, since it is smaller than the sum of its proper divisors (869201530202964).

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

505751232526764 is a wasteful number, since it uses less digits than its factorization.

505751232526764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268564 (or 268555 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 60.

The spelling of 505751232526764 in words is "five hundred five trillion, seven hundred fifty-one billion, two hundred thirty-two million, five hundred twenty-six thousand, seven hundred sixty-four".