505105520034353 has 64 divisors (see below), whose sum is σ = 619713148833792. Its totient is φ = 402233889657600.

The previous prime is 505105520034317. The next prime is 505105520034383. The reversal of 505105520034353 is 353430025501505.

It is not a de Polignac number, because 505105520034353 - 2⁸ = 505105520034097 is a prime.

It is a super-3 number, since 3×505105520034353³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505105520034353.

It is not an unprimeable number, because it can be changed into a prime (505105520034383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15212630450 + ... + 15212663652.

It is an arithmetic number, because the mean of its divisors is an integer number (9683017950528).

Almost surely, 2^{505105520034353} is an apocalyptic number.

It is an amenable number.

505105520034353 is a deficient number, since it is larger than the sum of its proper divisors (114607628799439).

505105520034353 is a wasteful number, since it uses less digits than its factorization.

505105520034353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37614.

The product of its (nonzero) digits is 675000, while the sum is 41.

Adding to 505105520034353 its reverse (353430025501505), we get a palindrome (858535545535858).

The spelling of 505105520034353 in words is "five hundred five trillion, one hundred five billion, five hundred twenty million, thirty-four thousand, three hundred fifty-three".