505688051 has 32 divisors (see below), whose sum is σ = 600652800. Its totient is φ = 420900480.

The previous prime is 505688039. The next prime is 505688101. The reversal of 505688051 is 150886505.

It is not a de Polignac number, because 505688051 - 2¹⁰ = 505687027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505687996 and 505688014.

It is not an unprimeable number, because it can be changed into a prime (505681051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151690 + ... + 1152128.

It is an arithmetic number, because the mean of its divisors is an integer number (18770400).

Almost surely, 2^505688051 is an apocalyptic number.

505688051 is a deficient number, since it is larger than the sum of its proper divisors (94964749).

505688051 is a wasteful number, since it uses less digits than its factorization.

505688051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659.

The product of its (nonzero) digits is 48000, while the sum is 38.

The square root of 505688051 is about 22487.5087770967. The cubic root of 505688051 is about 796.6989239189.

The spelling of 505688051 in words is "five hundred five million, six hundred eighty-eight thousand, fifty-one".