505412441155152 has 120 divisors (see below), whose sum is σ = 1453131264840840. Its totient is φ = 163866778721280.

The previous prime is 505412441155151. The next prime is 505412441155159. The reversal of 505412441155152 is 251551144214505.

505412441155152 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 1 + 2 + 4 + 41 + 1 + 551 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74612694482496 + 430799746672656 = 8637864^2 + 20755716^2 .

It is a super-2 number, since 2×505412441155152² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505412441155098 and 505412441155107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505412441155151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2515402 + ... + 31892822.

It is an arithmetic number, because the mean of its divisors is an integer number (12109427207007).

Almost surely, 2^{505412441155152} 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 505412441155152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726565632420420).

505412441155152 is an abundant number, since it is smaller than the sum of its proper divisors (947718823685688).

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

505412441155152 is a wasteful number, since it uses less digits than its factorization.

505412441155152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29380701 (or 29380692 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

Adding to 505412441155152 its reverse (251551144214505), we get a palindrome (756963585369657).

The spelling of 505412441155152 in words is "five hundred five trillion, four hundred twelve billion, four hundred forty-one million, one hundred fifty-five thousand, one hundred fifty-two".