505413222013232 has 160 divisors (see below), whose sum is σ = 1067619244995072. Its totient is φ = 230398350354432.

The previous prime is 505413222013229. The next prime is 505413222013331. The reversal of 505413222013232 is 232310222314505.

It is a junction number, because it is equal to n+sod(n) for n = 505413222013192 and 505413222013201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10524375173 + ... + 10524423195.

Almost surely, 2^{505413222013232} is an apocalyptic number.

505413222013232 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 505413222013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533809622497536).

505413222013232 is an abundant number, since it is smaller than the sum of its proper divisors (562206022981840).

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

505413222013232 is a wasteful number, since it uses less digits than its factorization.

505413222013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50035 (or 50029 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 505413222013232 its reverse (232310222314505), we get a palindrome (737723444327737).

The spelling of 505413222013232 in words is "five hundred five trillion, four hundred thirteen billion, two hundred twenty-two million, thirteen thousand, two hundred thirty-two".