505365512420 has 48 divisors (see below), whose sum is σ = 1098439317360. Its totient is φ = 195073191936.

The previous prime is 505365512383. The next prime is 505365512459. The reversal of 505365512420 is 24215563505.

It can be written as a sum of positive squares in 8 ways, for example, as 31963718656 + 473401793764 = 178784^2 + 688042^2 .

It is a super-2 number, since 2×505365512420² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 881804 + ... + 1337276.

It is an arithmetic number, because the mean of its divisors is an integer number (22884152445).

Almost surely, 2^505365512420 is an apocalyptic number.

It is an amenable number.

505365512420 is an abundant number, since it is smaller than the sum of its proper divisors (593073804940).

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

505365512420 is a wasteful number, since it uses less digits than its factorization.

505365512420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457424 (or 457422 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 505365512420 in words is "five hundred five billion, three hundred sixty-five million, five hundred twelve thousand, four hundred twenty".