505010535412311 has 24 divisors (see below), whose sum is σ = 730047903975936. Its totient is φ = 336402229539840.

The previous prime is 505010535412267. The next prime is 505010535412403. The reversal of 505010535412311 is 113214535010505.

505010535412311 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 105 + 3 + 541 + 2 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 505010535412311 - 2¹⁸ = 505010535150167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505010535412711) 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, 170421226 + ... + 173359208.

It is an arithmetic number, because the mean of its divisors is an integer number (30418662665664).

Almost surely, 2^{505010535412311} is an apocalyptic number.

505010535412311 is a deficient number, since it is larger than the sum of its proper divisors (225037368563625).

505010535412311 is a wasteful number, since it uses less digits than its factorization.

505010535412311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953383 (or 2953380 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 505010535412311 in words is "five hundred five trillion, ten billion, five hundred thirty-five million, four hundred twelve thousand, three hundred eleven".