505706961753 has 24 divisors (see below), whose sum is σ = 835492843328. Its totient is φ = 288741752352.

The previous prime is 505706961737. The next prime is 505706961779. The reversal of 505706961753 is 357169607505.

505706961753 is a `hidden beast` number, since 5 + 0 + 570 + 6 + 9 + 6 + 17 + 53 = 666.

It is not a de Polignac number, because 505706961753 - 2⁴ = 505706961737 is a prime.

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 505706961753.

It is not an unprimeable number, because it can be changed into a prime (505706961653) 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, 3166651 + ... + 3322512.

Almost surely, 2^505706961753 is an apocalyptic number.

It is an amenable number.

505706961753 is a deficient number, since it is larger than the sum of its proper divisors (329785881575).

505706961753 is a wasteful number, since it uses less digits than its factorization.

505706961753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490413 (or 6490410 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 505706961753 in words is "five hundred five billion, seven hundred six million, nine hundred sixty-one thousand, seven hundred fifty-three".