505353545353505 has 16 divisors (see below), whose sum is σ = 609074229363600. Its totient is φ = 402516196957440.

The previous prime is 505353545353487. The next prime is 505353545353507.

505353545353505 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 9493996800289 + 495859548553216 = 3081233^2 + 22267904^2 .

It is not a de Polignac number, because 505353545353505 - 2¹² = 505353545349409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505353545353507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742926491 + ... + 743606399.

It is an arithmetic number, because the mean of its divisors is an integer number (38067139335225).

Almost surely, 2^{505353545353505} is an apocalyptic number.

It is an amenable number.

505353545353505 is a deficient number, since it is larger than the sum of its proper divisors (103720684010095).

505353545353505 is a wasteful number, since it uses less digits than its factorization.

505353545353505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329284.

The product of its (nonzero) digits is 126562500, while the sum is 56.

The spelling of 505353545353505 in words is "five hundred five trillion, three hundred fifty-three billion, five hundred forty-five million, three hundred fifty-three thousand, five hundred five".