505213042023441 has 12 divisors (see below), whose sum is σ = 772678770153732. Its totient is φ = 316996418524416.

The previous prime is 505213042023427. The next prime is 505213042023461. The reversal of 505213042023441 is 144320240312505.

It is a happy number.

505213042023441 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 1 + 3 + 0 + 4 + 202 + 3 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 420450103814400 + 84762938209041 = 20504880^2 + 9206679^2 .

It is not a de Polignac number, because 505213042023441 - 2¹³ = 505213042015249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505213042023396 and 505213042023405.

It is not an unprimeable number, because it can be changed into a prime (505213042023461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1651023012996 + ... + 1651023013301.

It is an arithmetic number, because the mean of its divisors is an integer number (64389897512811).

Almost surely, 2^{505213042023441} is an apocalyptic number.

505213042023441 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

505213042023441 is a deficient number, since it is larger than the sum of its proper divisors (267465728130291).

505213042023441 is a wasteful number, since it uses less digits than its factorization.

505213042023441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302046026320 (or 3302046026317 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 505213042023441 its reverse (144320240312505), we get a palindrome (649533282335946).

The spelling of 505213042023441 in words is "five hundred five trillion, two hundred thirteen billion, forty-two million, twenty-three thousand, four hundred forty-one".